Question

Which of the following is a point slope equation of a line that passed through the points (10,5) and (4-7)

Answer 1

Answer:

y - 5 = 2(x - 10)

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (10, 5) and (4, -7). Substitute:

$m=\dfrac{-7-5}{4-10}=\dfrac{-12}{-6}=2$

$y-5=2(x-10)$