SOLUTION: Find the slope of the line passing through the points (4,-2) and (-1,1) and put the equation in standard form. (Ax + By = C)

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line passing through the points (4,-2) and (-1,1) and put the equation in standard form. (Ax + By = C)      Log On


   

Question 709110: Find the slope of the line passing through the points (4,-2) and (-1,1) and put the equation in standard form. (Ax + By = C)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Find slope, first for y=mx+b form.
m=%281--2%29%2F%28-1-4%29
m=3%2F%28-5%29
m=-%283%2F5%29
Then using y=mx+b again, b=y-mx. Pick any of the given points.
(4,-2), b=-2-%28-3%2F5%29%284%29
b=-2%2B%283%2F5%294
b=12%2F5-10%2F5
b=1%2F5
Finally, y=-%283%2F5%29x%2B1%2F5

Put into standard form:
5%2Ay=5%2A%28-3%2F5%29%2Ax%2B%281%2F5%29%2A5,[multiply by 5 to clear the fractions]
5y=-3x%2B1
5y%2B3x=-3x%2B1%2B3x
5y%2B3x=1
highlight%283x%2B5y=1%29