Use the coordinates of the labeled point to find the point-slope equation of
the line
(2,-5)

Answer:
[tex]\large\boxed{y+5=-4(x-2)}[/tex]
Step-by-step explanation:
The point-slope equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the points: (0, 3) and (2, -5). Substitute:
[tex]m=\dfrac{-5-3}{2-0}=\dfrac{-8}{2}=-4[/tex]
[tex]y-(-5)=-4(x-2)\\\\y+5=-4(x-2)[/tex]