Question

Use the coordinates of the labeled point to find the point-slope equation of the line (0,3) (2,-1)

Answer 1

y-3=-2(x+0)

Explanation:

Answer 2

Answer: see below

Explanation:

Use the slope (m) formula:
`m=(y_2-y_1)/(x_2-x_1)`

Let (x₂, y₂) = (2, -1) and (x₁, y₁) = (0, 3)

`m=(-1-3)/(2-0)=(-4)/(2)=-2`

Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (0, 3):

y - 3 = -2(x - 0) --> y - 3 = -2x

Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (2, -1):

y - (-1) = -2(x - 2) --> y + 1 = -2(x - 2)