SOLUTION: Through (-2,4) and (5,0). find an equation of each line in standard form satisfying the given conditions.

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Question 107350This question is from textbook intermediate algebra
: Through (-2,4) and (5,0).
find an equation of each line in standard form satisfying the given conditions.This question is from textbook intermediate algebra

Answer by Annabelle1(69) About Me  (Show Source):
You can put this solution on YOUR website!
we need to find the gradient between these two points first. This is found by the formula
%28y2-y1%29%2F%28x2-x1%29
where x1,x2,y1,y2 are your coordinates.
(-2,4)=(x1,y1)
(5,0)=(x2,y2)
so x1=-2 x2=5 y1=4 y2=0
gradient(m)= %280-4%29%2F%285-%28-2%29%29
=-4%2F7

you then have to use your point gradient formula to find the equation of the line.: (y-y1)=m*(x-x1)
you can use the x1 and y1 from above
we have :
y-4=%28-4%2F7%29%2A%28x-%28-2%29%29
y-4=%28-4%2F7%29%2A%28x%2B2%29
7%28y-4%29=-4%2A%28x%2B2%29
7y-28=-4x-8
4x%2B7y-28%2B8=0
4x%2B7y-20=0