Question

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

Answer 1

Answer:   y = x - 1

Step-by-step 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

$\text{Slope (m)}=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{-5-1}{-4-2}\quad =\dfrac{-6}{-6}\quad =1$

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