# SOLUTION: what is the equation of the line through points (-3,2) and (-4,5)

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 Question 315195: what is the equation of the line through points (-3,2) and (-4,5)Answer by CharlesG2(828)   (Show Source): You can put this solution on YOUR website!what is the equation of the line through points (-3,2) and (-4,5) slope m = rise/run = (y2 - y1)/(x2 - x1) m = (5 - 2)/(-4 - -3) m = 3/(-4 + 3) m = 3/(-1) m = -3 slope intercept form of a line is y = mx + b, where b is the y-intercept or vertical-intercept or the point (0,b) y = -3x + b plug in either of the points to solve for b plugging in (-3,2): 2 = -3(-3) + b 2 = 9 + b -7 = b plugging in (-4,5): 5 = -3(-4) + b 5 = 12 + b again -7 = b equation of the line: y = -3x - 7