# SOLUTION: A line passes through (-2,4) and (3,9). Could you please show me how to write an equation for the line in slope-intercept form step-by-step? Thank you :)

Algebra ->  Algebra  -> Equations -> SOLUTION: A line passes through (-2,4) and (3,9). Could you please show me how to write an equation for the line in slope-intercept form step-by-step? Thank you :)      Log On

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 Click here to see ALL problems on Equations Question 433090: A line passes through (-2,4) and (3,9). Could you please show me how to write an equation for the line in slope-intercept form step-by-step? Thank you :)Found 2 solutions by Alan3354, josmiceli:Answer by Alan3354(30983)   (Show Source): You can put this solution on YOUR website!Here's an example. -------------------- Find the equation given 2 points: Points (3,7) and (6,1) Find m, the slope m = diffy/diffx = (6-3)/(1-7) = 3/(-6) m = -1/2 -------- Use y = mx + b and either point to find b, the y-intercept 7 = (-1/2)*3 + b b = 8.5 or 17/2 --> y = (-1/2)x + 17/2 in slope-intercept form x + 2y = 17 in standard form --------------- email via the thank you note for help, or to check your work. Answer by josmiceli(9661)   (Show Source): You can put this solution on YOUR website!If the given points are (x1,y1) and (x2,y2), then the formula to use is: (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1) Applying this to your points, (-2,4), (3,9) Check to see if it goes through the points (-2,4) OK (3,9) OK