Equation of a Line Parallel to X-Axis<\/h2>\n
A line can be defined as a straight one-dimensional geometric figure that doesn’t have the thickness and extends endlessly in both directions. A straight line on the coordinate plane can be described by an equation is called the equation of a line. If all the points the straight line having the same y-coordinate or ordinate values, then it is called the equation of a line parallel to the x-axis.<\/p>\n
![\"Equation](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/equation-of-a-line-parallel-to-x-axis.png\")
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The general form of the equation of a line that is parallel to the x-ais is y = k. Here, k is the distance between the x-axis and the line. If a point P(x, y) lies on the line, then y = b. The equation of x-ais is y = 0 as the x-axis is parallel to itself at a distance of 0 from it.<\/p>\n
Different Forms of the Equation of Line<\/h3>\n
The various forms of the equations of a straight line are long the lines.<\/p>\n
Slope Intercept Form<\/strong><\/p>\n The equation of a slope-intercept form of a straight line is y = mx + b.<\/p>\n Here, m is the slope,<\/p>\n b is the y-intercept.<\/p>\n Point Slope Form<\/strong><\/p>\n The point-slope form of a line is y – y\u2081 = m(x – x\u2081)<\/p>\n Here, m is the slope of the line<\/p>\n (x\u2081, y\u2081) is a point on the line.<\/p>\n Two Point Form<\/strong><\/p>\n The two points form of a line is \\(\\frac { y – y\u2081 }{ y\u2082 – y\u2081 } = \\frac { x – x\u2081 }{ x\u2082 – x\u2081 }\\)<\/p>\n Here, (x\u2081, y\u2081), (x\u2082, y\u2082) are the two points on the line<\/p>\n Slope of the line = \\(\\frac { y\u2082 – y\u2081 }{ x\u2082 – x\u2081 } \\)<\/p>\n Intercept Form<\/strong><\/p>\n Intercept form of a line is \\(\\frac { x }{ a } +\\frac { y }{ b }\\) = 1<\/p>\n Here, a is the x-intercept<\/p>\n b is the y-intercept<\/p>\n Equation of x-axis<\/strong><\/p>\n The equation of x-axis is y = 0. Because the value of “ordinate” in all the points on the x-axis is zero.<\/p>\n Equation of y-axis<\/b><\/p>\n The equation of y-axis is x = 0. Why because the value of abscissa in all points on the y-axis is zero.<\/p>\n General Equation<\/b><\/p>\n The general equation of a straight line is ax + by + c = 0.<\/p>\n Example 1:<\/strong><\/p>\n Find the equation of a line parallel to the x-axis at a distance of 7 units above the x-axis?<\/p>\n Solution:<\/strong><\/p>\n We know that the equation of a line parallel to the x-axis at a distance b from it is y = b.<\/p>\n Therefore, the equation of a straight line parallel to the x-axis at a distance 7 units above the x-axis is y = 7.<\/p>\n Example 2:<\/strong><\/p>\n Find the equation of a line parallel to the x-axis at a distance of 5 units below the x-axis?<\/p>\n Solution:<\/strong><\/p>\n We know that If a straight line is parallel and below to x-axis at a distance b, then its equation is y = -b.<\/p>\n Therefore, the equation of a line parallel to the x-axis at a distance of 5 units below the x-axis is y = -5.<\/p>\n Example 3:<\/strong><\/p>\n Find the equation of a straight line parallel to the x-axis at a distance of 10 units above the x-axis?<\/p>\n Solution:<\/strong><\/p>\n We know that the equation of a line parallel to the x-axis at a distance b from it is y = b.<\/p>\n Therefore, the equation of a straight line parallel to the x-axis at a distance 10 units above the x-axis is y = 10.<\/p>\n 1. How do you find the equation of a line?<\/strong><\/p>\n The general form of equation of a line is ax + by + c = 0. Any equation in this form is called the equation of a straight line.<\/p>\n 2. What is the equation of the line parallel to the x-axis?<\/strong><\/p>\n The equation of a straight line parallel to the x-axis is y = b as all the points on that line have y-coordinate values as zero’s. Here, b is the distance between the line and the x-axis.<\/p>\n 3. How do you write an equation of a line parallel to a line?<\/strong><\/p>\n The slope-intercept form of a line is y = mx + c. If two lines are parallel, then their slopes are equal and the y-intercept depends on the line points. So, if you know one line, then it is easy to find the equation of a line parallel to the given line and passes through one point.<\/p>\n","protected":false},"excerpt":{"rendered":" We have infinite points in the coordinate plane. A line passes through a point (x, y). The different forms of equations of straight lines are equations of horizontal and vertical lines, Point-slope form, two-point form, slope-intercept form, intercept form, and normal form. Get to know more about the Equation of a Line Parallel to the … Read more<\/a><\/p>\n","protected":false},"author":12,"featured_media":65284,"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\/03\/Equation-of-a-Line-Parallel-to-X-Axis-1.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/62157"}],"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\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=62157"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/62157\/revisions"}],"predecessor-version":[{"id":92336,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/62157\/revisions\/92336"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/65284"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=62157"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=62157"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=62157"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Equation of a Line Parallel to X-Axis Examples<\/h3>\n
FAQs on Equation of Line Parallel to X-Axis<\/h3>\n