# how to find the equation of a line

You multiply the whole equation by -1 to remove the negative sign.

If a line runs perpendicular to another line, it … Last Updated: October 8, 2020 The general equation of a straight line is \(y = mx + c\), where \(m\) is the gradient and \((0,c)\) the coordinates of the y-intercept. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. Find the equation of the line which passes through the points A(-2, 0) and B(1, 6) and state the gradient and y-intercept. This gives us divided by, or. Thank you very much.

Using the equation, set x equal to zero and solve for y to find the y-intercept, or set y equal to zero and solve for x to find the x-intercept. Then, plug the slope into the slope-intercept formula, or y = mx + b, where "m" is the slope and "x" and "y" are one set of coordinates on the line. She has taught math at the elementary, middle, high school, and college levels. Boost your career: Improve your Zoom skills. How would I solve a system with only one given point? ", "Thanks, wikiHow. That means the line you're looking for would be defined as x = b: the line is vertical, m is "undefined" (infinity), and b is the x-intercept. Sometimes the words "rise" and "run" are used. What about given a slope and an intercept in y? We can find the equation of a straight line when given the gradient and a point on the line by using the formula: \ [y - b = m (x - a)\] where \ (m\) is the gradient and \ ((a,b)\) is on the line. Interpreting a trend line. Then, add 3 to each side so y is by itself. Grace Imson is a math teacher with over 40 years of teaching experience. For example, if your coordinates are (3, 8) and (7, 12), the formula would read: m = (12-8)/(7-3) = 4/4 = 1. Thanks to all authors for creating a page that has been read 810,340 times. helped me complete my MyMaths problems and to produce a set of revision notes about equations of lines. If you know two points that a line passes through, this page will show you how to find the equation of the line. By using our site, you agree to our. We use cookies to make wikiHow great. This is the currently selected item. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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