SOLUTION: The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

Algebra ->  Linear-equations -> SOLUTION: The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?       Log On


   

Question 1126760: The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Do it on graph paper. You have both axis intercepts and you can just count the slope and put the equation into slope-intercept form.

highlight%28y=x%2F3-2%29

graph%28300%2C300%2C-2%2C6%2C-4%2C4%2Cx%2F3-2%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the equation of the line:
y=mx%2Bb where m is a slope and b is y-intercept
use given points to ind a slope: (0, -2) and (6, 0)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%280-%28-2%29%29%2F%286-0%29
m=2%2F6
m=1%2F3
since b is y-intercept, and we know that y-intercept is at (0, y), from given point (0, -2) we see that b=-2
so, your equation is
y=%281%2F3%29x-2