SOLUTION: Find the x and y intercepts of the line through (-2,3) (-4,13)

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Question 1132332: Find the x and y intercepts of the line through (-2,3) (-4,13)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
first find equation y=mx%2Bb of the line through (-2,3) and (-4,13)
a slope is m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%2813-3%29%2F%28-4-%28-2%29%29
m=10%2F%28-4%2B2%29
m=10%2F-2
m=-5

y=-5x%2Bb......plug in one point to find b
13=-5%28-4%29%2Bb
13=20%2Bb
13-20=b
b=-7
y=-5x-7=>x-intercept is at (0,-7)
then, set y=0 to find x-intercept
0=-5x-7
5x=-7
x=-7%2F5
=> x-intercept is at (-7%2F5,0)