Answer:
Step-by-step explanation:
(x₁,y₁) = (5 , 0) and (x₂,y₂) = (-3, 2)
Slope= [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \dfrac{2-0}{-3-5}\\\\=\dfrac{2}{-8}\\\\=\dfrac{-1}{4}[/tex]
Equation of the line : y =mx + b
[tex]y = \dfrac{-1}{4}x + b[/tex]
Plug in x = 5 and y =0 in the above equation.
[tex]0 =\dfrac{-1}{4}*5+b\\\\0=\dfrac{-5}{4}+b\\\\b = \dfrac{5}{4}[/tex]
Equation of the line:
[tex]y =\dfrac{-1}{4}x+\dfrac{5}{4}[/tex]
