Question

The equation of a line is y-4=3(x+2) , which of the following is a point on the line? A (2, 4) B (4, -2) C (-2, 4) D (-4, 2)

Answer 1

C (-2, 4)

Explanation:

The point-slope equation of a line:

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

m - slope

(x₁, y₁) - point

We have the equation

`y-4=3(x+2)\\\\y-4=3(x-(-2))`

Therefore

m = 3

(x₁, y₁) = (-2, 4)