Question

What is the equation of the line with x-intercept = -4 and y-intercept = -12?

Answer 1

y=-3x-12

Explanation:

We are given 2 points, (-4,0) and (-12,0). These two points can be used to find the slope of the line. Simply use this formula:
`(y2-y1)/(x2-x1)`
y2 is the second point's y-coordinate. x2 is the second point's x-coordinate. x1 and y1 are the coordinates of the first point. In this case, x1=-4 and y1 =0, whereas x2=0 and y2=-12. Now, it's time to plug in and solve.
`(-12-0)/(0-(-4)`
`-12/4`
`-3=m`
m being the slope.
Now that we have the slope and the y-intercept, we can plug it into the equation for a line.
`y=mx+b`
`y=-3x-12`
b is the y-intercept.