Question

Write the equation in point -slope form using this graph

Answer 1

Explanation:

Step 1: Write the equation using point-slope form

Point-Slope Form:
`y-y_(1)=m\left(x-x_(1)\right)`

`y-0=m(x-3)`

`y = m(x-3)`

Step 2: Find the slope

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

`m=(-2-0)/(-2-(-3))`

`m=(-2)/(1)`

`m=-2`

Step 3: Combine them together

`y = m(x - 3)`

y = -2(x - 3)

IF NEEDED: Completely factor

`y = (-2 * x) + (-2 * -3)`

y = -2x + 6