Question

Write the equation of the line, given the y and x-intercepts.

b
x-intercept = –6, y-intercept = –8

Answer 1

y = -4/3x - 8

Explanation:

Slope-Intercept Form: y = mx + b

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Step 1: Define points

x-intercept is (-6, 0)

y-intercept is (0, -8)

Step 2: Find slope m

`m=(-8-0)/(0-(-6))`

`m=(-8)/(0+6)`

`m=(-8)/(6)`

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

y = -4/3x + b

Step 3: Find y-intercept b

We are given (0, -8)

Step 4: Write linear equation

y = -4/3x - 8