# Write an equation of the line that passes through the given points and is parallel to the given line

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Find the equation of a line that passes through the points (3, 6) and (-2, -4). The goal is to take these two points and write an equation in the form y mx b that passes through the points. Find m, the slope Slope rise run (6 - -4) (3 - -2) 10 5 2 Plug in a point (it does not matter which one) and solve for b y 2x b. Solution The general equation of a straight line can be written as y mx c where m is the slope and c is the y-intercept. Let us consider the given points (0, 1) and (-2, -5). As we know that the equation of a line passing through the points (x 1, y 1) and (x 2, y 2) is given by y - y 1 m (x - x 1). MY NOTES Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form. y 3 P (2, -7), x -- 2y 4 Read It Need Help ASK YOUR TEACHER PRACTICE ANOTHER Previous question Next question Get more help from Chegg. General Math Find the Equation of a Line Given That You Know Two Points it Passes Through The equation of a line is typically written as ymxb where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line. Plug in either one of the given points, (5, 8) or (2, 6), into the equation to find the y-intercept (b). 6 2 (2) b 6 4 b 2 b Plug in both the slope and the y-intercept into slope intercept form. y 2x 2 Report an Error Example Question 1 How To Find The Equation Of A Line.

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