Question

`Please\;write\;equations\;for\;the\;following...\\\\1...\;(-2, 3), slope = -5/7\\2...\;(-4, -2), slope = -1/4\\3...\;(2, 0), slope = 1/2`

Answer 1

Answer: 1) y = (-5/7)x + 11/7

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

3) y = (1/2)x - 1

Explanation:

Use the Point-Slope equation: y - y₁ = m(x - x₁) where

• (x₁, y₁) is a point on the line
• m is the slope

(x₁, y₁) = (-2, 3) m = -5/7

y - 3 = -5/7(x + 2)

y - 3 = (-5/7)x - 10/7

y = (-5/7)x + 11/7

(x₁, y₁) = (-4, -2) m = -1/4

y + 2 = -1/4(x + 4)

y + 2 = (-1/4)x - 1

y = (-1/4)x - 3

(x₁, y₁) = (2, 0) m = 1/2

y - 0 = 1/2(x - 2)

y - 0 = (1/2)x - 1

y = (1/2)x - 1