SOLUTION: If a line has an x-intercept at x = −7 and a y-intercept at y = −8, find its equation in the form y = mx + b.

Algebra ->  Linear-equations -> SOLUTION: If a line has an x-intercept at x = −7 and a y-intercept at y = −8, find its equation in the form y = mx + b.      Log On


   



Question 1175153: If a line has an x-intercept at x = −7 and a y-intercept at y = −8, find its equation in the form y = mx + b.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
If a line has an x-intercept at x+=-7 we have a point (-7,0)
and a y-intercept at y+=+-8, we have a point (0,-8)
if you have two points you can find a slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-8-0%29%2F%280-%28-7%29%29
m=-8%2F7
so far its equation in the form y+=+mx+%2B+b is
y+=+-%288%2F7%29x+%2B+b.... since y-intercept is b, b=-8

and your equation is
y+=+-%288%2F7%29x+-8

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-%288%2F7%29x+-8%29+