Answer:
y - 5 = 2(x - 10)
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (10, 5) and (4, -7). Substitute:
[tex]m=\dfrac{-7-5}{4-10}=\dfrac{-12}{-6}=2[/tex]
[tex]y-5=2(x-10)[/tex]
