Question

Write the equation of each line in slope intercept form.

Answer 1

Explanation:

Formulas and Formats we'll be using:

Slope Formula:
`m=(y2)/(x2) -(y1)/(x1)`

Slope-Intercept form:
`y=mx+b`

m = slope

b = y-intercept

Substitute (-6, 10) and (-3, -2) into the slope formula:

`m=(-2)/(-3) -(10)/(-6)`

Simplify:

`m=(-12 / 3)/(3 / 3)=(-4)/(1)`

`m=-4`

*Per every -4 y, x increases by 1.

Points Included:

(-6, 10)

(-5, 6)

(-4, 2)

(-3, -2)

(-2, -6)

(-1, -10)

(0, -14)

Y-intercept:

Y-intercept represents x when it's equal to 0.

Using our points, we can determine that the y-intercept is at the point:

(0, -14)

-14 is the y-intercept.

Create a Slope-intercept form equation:

Formula:
`y = mx + b`

Substitute the slope, and y-intercept into the equation:

`y=-4x-14`

Your equation is:
`y=-4x-14`