SOLUTION: Find the equation of the line passing through the points (-2,4) and (7,9). Put your answer in standard form.

Algebra ->  Proportions  -> Lessons -> SOLUTION: Find the equation of the line passing through the points (-2,4) and (7,9). Put your answer in standard form.      Log On


   

Question 1022856: Find the equation of the line passing through the points (-2,4) and (7,9). Put your answer in standard form.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use the two points and the point-slope form:
y-k=m%28x-h%29
-
m=%289-4%29%2F%287-%28-2%29%29=5%2F9
-
pick either of the two points...
y-4=%285%2F9%29%28x-%28-2%29%29
y-4=5x%2F9%2B10%2F9


Change to Standard Form:
9%28y-4%29=9%2A%285x%2F9%2B10%2F9%29
9y-36=5x%2B10
9y-5x=10%2B36
9y-5x=46
-5x%2B9y=46
OR
highlight%285x-9y=-46%29