Question

Find the equation of the line with slope = 5 and passing through (-7,-29). Write your equation in the form

y = mz+b.

Answer 1

Answer: y = 5x + 6

Explanation:

1. Do point-slope formula {(y - y1) = m(x - x1})

(y - 29) = 5(x - 7)

Distribute

(y - 29) = 5x - 35

Subtract 29 on both sides

Cancel out y - 29 - 29

y = 5x + 6

Answer 2

`y =5x+6`

Explanation:

In the equation,
`y=mx+b`, the "m" represents the slope, and the b represents the y-intercept.

We know the slope is 5, so we already know part of the equation:
`y=5x+b`

To solve for the "b" part or y-intercept, we can simply plug in a known point on the line, which was given to be (-7, -29)

This gives us the following equation:

`-29 = 5(-7) + b\\\text{simplify}\\-29 = -35 + b\\\text{add 35 to both sides}\\6=b`