Question

Given the points (2.1) and (-4,-5) Find the point-slope form of the line.

Answer 1

Answer: y = x - 1

Explanation:

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

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

`\text{Slope (m)}=(y_2-y_1)/(x_2-x_1)`

Let (x₁, y₁) = (2, 1) and (x₂, y₂) = (-4, -5)

`m=(-5-1)/(-4-2)\quad =(-6)/(-6)\quad =1`

Point-Slope form: y - 1 = 1(x - 2)

y - 1 = x - 2 distributed 1 to (x - 2)

y = x - 1 added 1 to both sides