HTML

<div class="slider-container">
    <div class="slider-control left inactive"></div>
    <div class="slider-control right"></div>
    <ul class="slider-pagi"></ul>
    <div class="slider">
        <div class="slide slide-0 active">
            <div class="slide__bg"></div>
            <div class="slide__content">
                <svg class="slide__overlay" viewBox="0 0 720 405" preserveAspectRatio="xMaxYMax slice">
                    <path class="slide__overlay-path" d="M0,0 150,0 500,405 0,405" />
                </svg>
                <div class="slide__text">
                    <h2 class="slide__text-heading">Проект 1</h2>
                    <p class="slide__text-desc">Lorem ipsum dolor sit amet, consectetur adipisicing elit. Distinctio veniam minus illo debitis nihil animi facere, doloremque voluptate tempore quia. Lorem ipsum dolor sit amet, consectetur adipisicing elit. Distinctio veniam minus illo debitis nihil animi facere, doloremque voluptate tempore quia.</p>
            &nbsnbsp;       <a class="slide__text-link">Ссылка на проект</a>
                </div>
            </div>
        </div>
        <div class="slide slide-1 ">
            <div class="slide__bg"></div>
            <div class="slide__content">
                <svg class="slide__overlay" viewBox="0 0 720 405" preserveAspectRatio="xMaxYMax slice">
                    <path class="slide__overlay-path" d="M0,0 150,0 500,405 0,405" />
                </svg>
                <div class="slide__text">
                    <h2 class="slide__text-heading">Проект 2</h2>
      &nbnbsp;             <p class="slide__text-desc">Lorem ipsum dolor sit amet, consectetur adipisicing elit. Distinctio veniam minus illo debitis nihil animi facere, doloremque voluptate tempore quia. Lorem ipsum dolor sit amet, consectetur adipisicing elit. Distinctio veniam minus illo debitis nihil animi facere, doloremque voluptate tempore quia.</p>
                    <a class="slide__text-link">Ссылка на проект</a>
                </div>
            </div>
        </div>
    </div>
</div>

CSS

.slider-container {
  position: relative;
  height: 100%;
  -webkit-user-select: none;
     -moz-user-select: none;
      -ms-user-select: none;
          user-select: none;
  cursor: all-scroll;
}
 
.slider-control {
  z-index: 2;
  position: absolute;
  top: 0;
  width: 12%;
  height: 100%;
  -webkit-transition: opacity 0.3s;
  transition: opacity 0.3s;
  will-change: opacity;
  opacity: 0;
}
.slider-control.inactive:hover {
  cursor: auto;
}
.slider-control:not(.inactive):hover {
  opacity: 1;
  cursor: pointer;
}
.slider-control.left {
  left: 0;
  background: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.18) 0%, rgba(0, 0, 0, 0) 100%);
  background: linear-gradient(to right, rgba(0, 0, 0, 0.18) 0%, rgba(0, 0, 0, 0) 100%);
}
.slider-control.right {
  right: 0;
  background: -webkit-linear-gradient(left, rgba(0, 0, 0, 0) 0%, rgba(0, 0, 0, 0.18) 100%);
  background: linear-gradient(to right, rgba(0, 0, 0, 0) 0%, rgba(0, 0, 0, 0.18) 100%);
}
 
.slider-pagi {
  position: absolute;
  z-index: 3;
  left: 50%;
  bottom: 2rem;
  -webkit-transform: translateX(-50%);
          transform: translateX(-50%);
  font-size: 0;
  list-style-type: none;
}
.slider-pagi__elem {
  position: relative;
  display: inline-block;
  vertical-align: top;
  width: 2rem;
  height: 2rem;
  margin: 0 0.5rem;
  border-radius: 50%;
  border: 2px solid #fff;
  cursor: pointer;
}
.slider-pagi__elem:before {
  content: "";
  position: absolute;
  left: 50%;
  top: 50%;
  width: 1.2rem;
  height: 1.2rem;
  background: #fff;
  border-radius: 50%;
  -webkit-transition: -webkit-transform 0.3s;
  transition: -webkit-transform 0.3s;
  transition: transform 0.3s;
  transition: transform 0.3s, -webkit-transform 0.3s;
  -webkit-transform: translate(-50%, -50%) scale(0);
          transform: translate(-50%, -50%) scale(0);
}
.slider-pagi__elem.active:before, .slider-pagi__elem:hover:before {
  -webkit-transform: translate(-50%, -50%) scale(1);
          transform: translate(-50%, -50%) scale(1);
}
 
.slider {
  z-index: 1;
  position: relative;
  height: 100%;
}
.slider.animating {
  -webkit-transition: -webkit-transform 0.5s;
  transition: -webkit-transform 0.5s;
  transition: transform 0.5s;
  transition: transform 0.5s, -webkit-transform 0.5s;
  will-change: transform;
}
.slider.animating .slide__bg {
  -webkit-transition: -webkit-transform 0.5s;
  transition: -webkit-transform 0.5s;
  transition: transform 0.5s;
  transition: transform 0.5s, -webkit-transform 0.5s;
  will-change: transform;
}
 
.slide {
  position: absolute;
  top: 0;
  width: 100%;
  height: 100%;
  overflow: hidden;
}
.slide.active .slide__overlay,
.slide.active .slide__text {
  opacity: 1;
  -webkit-transform: translateX(0);
          transform: translateX(0);
}
.slide__bg {
  position: absolute;
  top: 0;
  left: -50%;
  width: 100%;
  height: 100%;
  background-size: cover;
  will-change: transform;
}
.slide:nth-child(1) {
  left: 0;
}
.slide:nth-child(1) .slide__bg {
  left: 0;
  background-image: url("slider-3.jpg");
}
.slide:nth-child(1) .slide__overlay-path {
  fill: #e99c7e;
}
@media (max-width: 991px) {
  .slide:nth-child(1) .slide__text {
    background-color: rgba(233, 156, 126, 0.8);
  }
}
.slide:nth-child(2) {
  left: 100%;
}
.slide:nth-child(2) .slide__bg {
  left: -50%;
  background-image: url("slider-2.jpg");
}
.slide:nth-child(2) .slide__overlay-path {
  fill: #e1ccae;
}
@media (max-width: 991px) {
  .slide:nth-child(2) .slide__text {
    background-color: rgba(225, 204, 174, 0.8);
  }
}
.slide:nth-child(3) {
  left: 200%;
}
.slide:nth-child(3) .slide__bg {
  left: -100%;
  background-image: url("slider-1.jpg");
}
.slide:nth-child(3) .slide__overlay-path {
  fill: #adc5cd;
}
@media (max-width: 991px) {
  .slide:nth-child(3) .slide__text {
    background-color: rgba(173, 197, 205, 0.8);
  }
}
.slide:nth-child(4) {
  left: 300%;
}
.slide:nth-child(4) .slide__bg {
  left: -150%;
  background-image: url("slider-4.jpg");
}
.slide:nth-child(4) .slide__overlay-path {
  fill: #cbc6c3;
}
@media (max-width: 991px) {
  .slide:nth-child(4) .slide__text {
    background-color: rgba(203, 198, 195, 0.8);
  }
}
.slide__content {
  position: absolute;
  top: 0;
  left: 0;
  width: 100%;
  height: 100%;
}
.slide__overlay {
  position: absolute;
  bottom: 0;
  left: 0;
  height: 100%;
  min-height: 810px;
  -webkit-transition: opacity 0.2s 0.5s, -webkit-transform 0.5s 0.5s;
  transition: opacity 0.2s 0.5s, -webkit-transform 0.5s 0.5s;
  transition: transform 0.5s 0.5s, opacity 0.2s 0.5s;
  transition: transform 0.5s 0.5s, opacity 0.2s 0.5s, -webkit-transform 0.5s 0.5s;
  will-change: transform, opacity;
  -webkit-transform: translate3d(-20%, 0, 0);
          transform: translate3d(-20%, 0, 0);
  opacity: 0;
}
@media (max-width: 991px) {
  .slide__overlay {
    display: none;
  }
}
.slide__overlay path {
  opacity: 0.8;
}
.slide__text {
  position: absolute;
  width: 25%;
  bottom: 15%;
  left: 12%;
  color: #fff;
  -webkit-transition: opacity 0.5s 0.8s, -webkit-transform 0.5s 0.8s;
  transition: opacity 0.5s 0.8s, -webkit-transform 0.5s 0.8s;
  transition: transform 0.5s 0.8s, opacity 0.5s 0.8s;
  transition: transform 0.5s 0.8s, opacity 0.5s 0.8s, -webkit-transform 0.5s 0.8s;
  will-change: transform, opacity;
  -webkit-transform: translateY(-50%);
          transform: translateY(-50%);
  opacity: 0;
}
@media (max-width: 991px) {
  .slide__text {
    left: 0;
    bottom: 0;
    width: 100%;
    height: 20rem;
    text-align: center;
    -webkit-transform: translateY(50%);
            transform: translateY(50%);
    -webkit-transition: opacity 0.5s 0.5s, -webkit-transform 0.5s 0.5s;
    transition: opacity 0.5s 0.5s, -webkit-transform 0.5s 0.5s;
    transition: transform 0.5s 0.5s, opacity 0.5s 0.5s;
    transition: transform 0.5s 0.5s, opacity 0.5s 0.5s, -webkit-transform 0.5s 0.5s;
    padding: 0 1rem;
  }
}
.slide__text-heading {
  font-family: 'Exo 2', Helvetica, Arial, sans-serif;
  font-size: 5rem;
  margin-bottom: 2rem;
}
@media (max-width: 991px) {
  .slide__text-heading {
    line-height: 20rem;
    font-size: 3.5rem;
  }
}
.slide__text-desc {
  font-family: "Open Sans", Helvetica, Arial, sans-serif;
  font-size: 1.8rem;
  margin-bottom: 1.5rem;
}
@media (max-width: 991px) {
  .slide__text-desc {
    display: none;
  }
}
.slide__text-link {
  z-index: 5;
  display: inline-block;
  position: relative;
  padding: 0.5rem;
  cursor: pointer;
  font-family: "Open Sans", Helvetica, Arial, sans-serif;
  font-size: 2.3rem;
  -webkit-perspective: 1000px;
          perspective: 1000px;
}
@media (max-width: 991px) {
  .slide__text-link {
    display: none;
  }
}
.slide__text-link:before {
  z-index: -1;
  content: "";
  position: absolute;
  top: 0;
  left: 0;
  width: 100%;
  height: 100%;
  background: #000;
  -webkit-transform-origin: 50% 100%;
          transform-origin: 50% 100%;
  -webkit-transform: rotateX(-85deg);
          transform: rotateX(-85deg);
  -webkit-transition: -webkit-transform 0.3s;
  transition: -webkit-transform 0.3s;
  transition: transform 0.3s;
  transition: transform 0.3s, -webkit-transform 0.3s;
  will-change: transform;
}
.slide__text-link:hover:before {
  -webkit-transform: rotateX(0);
          transform: rotateX(0);
}

JS

$(document).ready(function() {
 
  var $slider = $(".slider"),
      $slideBGs = $(".slide__bg"),
      diff = 0,
      curSlide = 0,
      numOfSlides = $(".slide").length-1,
      animating = false,
      animTime = 500,
      autoSlideTimeout,
      autoSlideDelay = 6000,
      $pagination = $(".slider-pagi");
 
  function createBullets() {
    for (var i = 0; i < numOfSlides+1; i++) {
      var $li = $("<li class='slider-pagi__elem'></li>");
      $li.addClass("slider-pagi__elem-"+i).data("page", i);
      if (!i) $li.addClass("active");
      $pagination.append($li);
    }
  };
 
  createBullets();
 
  function manageControls() {
    $(".slider-control").removeClass("inactive");
    if (!curSlide) $(".slider-control.left").addClass("inactive");
    if (curSlide === numOfSlides) $(".slider-control.right").addClass("inactive");
  };
 
  function autoSlide() {
    autoSlideTimeout = setTimeout(function() {
      curSlide++;
      if (curSlide > numOfSlides) curSlide = 0;
      changeSlides();
    }, autoSlideDelay);
  };
 
  autoSlide();
 
  function changeSlides(instant) {
    if (!instant) {
      animating = true;
      manageControls();
      $slider.addClass("animating");
      $slider.css("top");
      $(".slide").removeClass("active");
      $(".slide-"+curSlide).addClass("active");
      setTimeout(function() {
        $slider.removeClass("animating");
        animating = false;
      }, animTime);
    }
    window.clearTimeout(autoSlideTimeout);
    $(".slider-pagi__elem").removeClass("active");
    $(".slider-pagi__elem-"+curSlide).addClass("active");
    $slider.css("transform", "translate3d("+ -curSlide*100 +"%,0,0)");
    $slideBGs.css("transform", "translate3d("+ curSlide*50 +"%,0,0)");
    diff = 0;
    autoSlide();
  }
 
  function navigateLeft() {
    if (animating) return;
    if (curSlide > 0) curSlide--;
    changeSlides();
  }
 
  function navigateRight() {
    if (animating) return;
    if (curSlide < numOfSlides) curSlide++;
    changeSlides();
  }
 
  $(document).on("mousedown touchstart", ".slider", function(e) {
    if (animating) return;
    window.clearTimeout(autoSlideTimeout);
    var startX = e.pageX || e.originalEvent.touches[0].pageX,
        winW = $(window).width();
    diff = 0;
   
    $(document).on("mousemove touchmove", function(e) {
      var x = e.pageX || e.originalEvent.touches[0].pageX;
      diff = (startX - x) / winW * 70;
      if ((!curSlide && diff < 0) || (curSlide === numOfSlides && diff > 0)) diff /= 2;
      $slider.css("transform", "translate3d("+ (-curSlide*100 - diff) +"%,0,0)");
      $slideBGs.css("transform", "translate3d("+ (curSlide*50 + diff/2) +"%,0,0)");
    });
  });
 
  $(document).on("mouseup touchend", function(e) {
    $(document).off("mousemove touchmove");
    if (animating) return;
    if (!diff) {
      changeSlides(true);
      return;
    }
    if (diff > -8 && diff < 8) {
      changeSlides();
      return;
    }
    if (diff <= -8) {
      navigateLeft();
    }
    if (diff >= 8) {
      navigateRight();
    }
  });
 
  $(document).on("click", ".slider-control", function() {
    if ($(this).hasClass("left")) {
      navigateLeft();
    } else {
      navigateRight();
    }
  });
 
  $(document).on("click", ".slider-pagi__elem", function() {
    curSlide = $(this).data("page");
    changeSlides();
  });
 
});