SOLUTION: Find the standard form of the equation of the line that passes through (-3,2) and (-4,-7).

Algebra ->  Linear-equations -> SOLUTION: Find the standard form of the equation of the line that passes through (-3,2) and (-4,-7).      Log On


   

Question 890850: Find the standard form of the equation of the line that passes through (-3,2) and (-4,-7).
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Find slope, use either of the other forms for line equations to get corresponding constant term, convert to standard form.

SLOPE
m=%282-%28-7%29%29%2F%28-3-%28-4%29%29=9%2F1

CORRESPONDING CONSTANT VALUE
My choice is to use slope-intercept form and look for y-intercept value.
y=mx%2Bb
y-mx=b
b=y-mx
PICK EITHER GIVEN POINT.
b=2-9%2A%28-3%29
b=29
Resulting equation in this form, highlight_green%28y=9x%2B29%29.

PUT INTO STANDARD FORM

Almost in that form.
y=9x%2B29
y-9x=9x%2B29-9x
y-9x=29
highlight%28-9x%2By=29%29 OR highlight%289x-y=-29%29