Answer:
Step-by-step explanation:
(x₁, y₁)= (-6,1) and (x₂,y₂) = (0,4)
Slope = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \dfrac{4-1}{0-[-6]}\\\\=\dfrac{3}{0+6}\\\\=\dfrac{3}{6}\\\\=\dfrac{1}{2}[/tex]
Slope of line perpendicular to it = -1/m
[tex]= \dfrac{-1}{\dfrac{1}{2}}\\\\=-1*\dfrac{2}{1}=-2[/tex]
Equation : y =mx +b
y = -2x + b
Plugin x = -2 and y =7 in the above equation
7 = -2*(-2) + b
7 = 4 + b
7-4=b
3 = b
Equation: y =-2x + 3
