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

y - 5 = 2(x - 10)

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=(y_2-y_1)/(x_2-x_1)`

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

`m=(-7-5)/(4-10)=(-12)/(-6)=2`

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