Question

Write a slope-intercept equation for a line that passes through (5,0) and (-3,2)

Answer 1

Answer:

Step-by-step explanation:

(x₁,y₁) = (5 , 0)  and (x₂,y₂) = (-3, 2)

Slope= $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

         $= \dfrac{2-0}{-3-5}\\\\=\dfrac{2}{-8}\\\\=\dfrac{-1}{4}$

Equation of the line : y =mx + b

$y = \dfrac{-1}{4}x + b$

Plug in x = 5 and y =0 in the above equation.

$0 =\dfrac{-1}{4}*5+b\\\\0=\dfrac{-5}{4}+b\\\\b = \dfrac{5}{4}$

Equation of the line:

$y =\dfrac{-1}{4}x+\dfrac{5}{4}$