Question

A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Answer 1

`y=(-1)/(3)x-4`

Explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

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

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

`m=(-2-(-7))/(-6-9)`

`m=(-2+7)/(-15)`

`m=(5)/(-15)`

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

`y=(-1)/(3)x+b`

Step 3: Find y-intercept b

`-7=(-1)/(3)(9)+b`

`-7=-3+b`

`-4=b`

Step 4: Write linear equation in slope-intercept form

`y=(-1)/(3)x-4`