Answer:
Step-by-step explanation:
(4 , 4) & (-6, 2)
[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{2-4}{-6-4}=\dfrac{-2}{-10}\\\\=\dfrac{1}{5}[/tex]
Equation : y = mx +b
[tex]y =\dfrac{1}{5}x + b\\\\[/tex]
Plug in x = 4 and y =4
[tex]4 = \dfrac{1}{5}*4 + b\\\\4=\dfrac{4}{5}+b\\\\4-\dfrac{4}{5}=b\\\\\dfrac{4*5}{1*5}-\dfrac{4}{5}\\\\\dfrac{20}{5}-\dfrac{4}{5}=b\\\\b =\dfrac{16}{5}\\[/tex]
Equation:
[tex]y =\dfrac{1}{5}x +\dfrac{16}{5}[/tex]
