Question

Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8).

1. Use slope formula to find slope:

m = StartFraction negative 8 minus 0 Over negative 1 minus (negative 5) EndFraction = StartFraction negative 8 Over 4 EndFraction = negative 2

2. Substitute one point and slope into slope-intercept form to find the y-intercept:

0 = negative 2 (negative 5) + b. 0 = 10 + b. b = negative 10.

Answer 1

Can you maybe screenshot the problem next time to make it easier to understand?

Answer 2

Now that you have slope as -2 and a y-intercept as -10, just replace them with the variables in y=mx+b where m is slope and b is y intercept so the equation is \[y=-2x-10\]