Question

Write the equation of the line, in y = mx + b form, that passes through the points (-2, -15) and (5, 13). Show how you arrived at the values of m and b.

Answer 1

y = 4x - 7

Explanation:

Finding the slope:

`(13+15)/(5+2)=(28)/(7)=\boxed{4}`

The slope is 4.

Finding the y-intercept:

`y=4x+b\\\\13=4(5)+b\\\\13=20+b\\\\13-20=20-20+b\\\\\boxed{-7=b}`

The equation is
`y=4x-7`.

Hope this helps.