{"id":52489,"date":"2023-11-04T19:03:05","date_gmt":"2023-11-04T13:33:05","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=52489"},"modified":"2023-11-10T12:29:51","modified_gmt":"2023-11-10T06:59:51","slug":"equation-of-a-line-parallel-to-y-axis","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/equation-of-a-line-parallel-to-y-axis\/","title":{"rendered":"Find the Equation of a Line Parallel to Y Axis | Different Forms of Equations of a Straight Line"},"content":{"rendered":"<p><strong>Equation of a Line Parallel to Y-Axis:<\/strong> As we all aware of the infinite points in the coordinate plane so take an arbitrary point P(x,y) on the XY Plane and a line L. Now, finding the point that lies on the line is a very essential task for bringing an equation of straight lines into the picture in 2-D geometry.<\/p>\n<p>In an equation of a straight line, terms involved in x and y. So, in case, the point P(x,y) meets the equation of the line, then the point P lies on the Line L. Now, you all will come to know about the Equation of a Line Parallel to Y-Axis, how to find it for the given point, and much more like different forms of equations of a straight line in the below modules.<\/p>\n<h2>Find the Equation of a Line Parallel to Y-Axis<\/h2>\n<p>Now, we will explain how to find the equation of Y-axis and the equation of a line parallel to Y-axis. By following this explanation, you will understand how easy to calculate and solve the equation of a straight line parallel to Y-axis. So, let&#8217;s start with the process of finding an Equation of a Line Parallel to the y-axis.<\/p>\n<p>Let AB be a straight line parallel to the y-axis at some distance assume &#8216;a&#8217; units from the Y-axis. From the below figure, it is clear that line L is parallel to y-axis and passing through the value &#8216;a&#8217; on the x-axis. So, the equation of a line parallel to y-axis is <strong>X=a<\/strong>.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-52496 aligncenter\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/equation-of-a-line-parallel-to-y-axis-figure.png\" alt=\"equation of a line parallel to y-axis figure\" width=\"486\" height=\"425\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/equation-of-a-line-parallel-to-y-axis-figure.png 486w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/equation-of-a-line-parallel-to-y-axis-figure-300x262.png 300w\" sizes=\"(max-width: 486px) 100vw, 486px\" \/><\/p>\n<p>The equation of the y-axis is x = 0, as, the y-axis is a parallel to itself at a distance of 0 from it.<\/p>\n<p>Or<\/p>\n<p>If a straight line is parallel and to the left of the x-axis at a distance a, then its equation is x = -a.<\/p>\n<h3>Different Forms of Equations of a Straight Line<\/h3>\n<p>In addition to the equation of a line parallel to the y-axis, let&#8217;s have a glance at some various forms of the equation of a straight line. Here is the list of different forms of the equation of a straight line:<\/p>\n<ul>\n<li>Slope intercept form<\/li>\n<li>Point slope form<\/li>\n<li>Two-point form<\/li>\n<li>Intercept form<\/li>\n<li>Normal form<\/li>\n<li>Point-slope form<\/li>\n<\/ul>\n<h3>Worked-out Examples on Equation of y-axis and Equation of a line parallel to the y-axis<\/h3>\n<p>1. Write the equation of a line parallel to y-axis and passing through the point (\u22122,\u22124).<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>As we know that the\u00a0Equation of line parallel to y-axis is <em>x=a.<\/em><\/p>\n<p>The given point (\u22122,\u22124) lies on our required line, so that<\/p>\n<p>\u27f9 x = -2<\/p>\n<p>Therefore, the equation of the required line is <strong>x=\u22122.\u00a0<\/strong><\/p>\n<p>2. Calculate the equation of a straight line parallel to y-axis at a distance of 4 units on the left-hand side of the y-axis.<\/p>\n<p><strong>Solution:\u00a0<\/strong><\/p>\n<p>According to the statements that we know about the equation of a straight line is parallel and to the left of the x-axis at a distance a, then its equation is <em>x = -a.<\/em><\/p>\n<p>Hence, the equation of a straight line parallel to y-axis at a distance of 4 units on the left-hand side of the y-axis is <strong>x = -4,\u00a0<\/strong><\/p>\n<p>3. Find the equation of a line parallel to the y-axis and passing through the point (5,10)?<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>A line parallel to the y-axis will be of form x=a<\/p>\n<p>Given the line passes through (5,10)<\/p>\n<p>So, x=5<\/p>\n<p>Hence, The equation of a line is<strong> x &#8211; 5 = 0.<\/strong><\/p>\n<h3>FAQs on Line Parallel to Y-Axis<\/h3>\n<p><strong>1. What is the equation representing Y-axis?<\/strong><\/p>\n<p>The equation of a line which is representing the y-axis is <strong>x=0.<\/strong><\/p>\n<p><strong>2. How to calculate the equation of a line?<\/strong><\/p>\n<p>Typically, the equation of a line is addressed as<em> y=mx+b<\/em> where m is the slope and b is the y-intercept.<\/p>\n<p><strong>3. What is the formula for point-slope form?<\/strong><\/p>\n<p>The formula for Point-Slope of the line by the definition is, m = \\(\\frac { y \u2212 y<sub>1<\/sub> }{ x \u2212 x<sub>1<\/sub> } \\)<\/p>\n<p><strong>y \u2212 y<sub>1<\/sub> = m(x \u2212 x<sub>1<\/sub>).<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Equation of a Line Parallel to Y-Axis: As we all aware of the infinite points in the coordinate plane so take an arbitrary point P(x,y) on the XY Plane and a line L. Now, finding the point that lies on the line is a very essential task for bringing an equation of straight lines into &#8230; <a title=\"Find the Equation of a Line Parallel to Y Axis | Different Forms of Equations of a Straight Line\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/equation-of-a-line-parallel-to-y-axis\/\" aria-label=\"More on Find the Equation of a Line Parallel to Y Axis | Different Forms of Equations of a Straight Line\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":52491,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/02\/Equation-of-a-Line-Parallel-to-Y-Axis.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/52489"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=52489"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/52489\/revisions"}],"predecessor-version":[{"id":92504,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/52489\/revisions\/92504"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/52491"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=52489"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=52489"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=52489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}