Question

What is the equation of the line that passes through the point (-5, -2) and has a

slope of -6/5?

Answer 1

y = -6/5x - 8

Explanation:

You just have to use the slope-point equation of a line which is (y - y₁) = m (x - x₁) where y₁ and x₁ are the coordinates of the given point and m is the slope given. So just plug-in x₁ = -5, y₁ = -2, and m = -6/5 to get:

y - ( -2) = -6/5(x + 5)

And simplify to get:

y + 2 = -6/5x - 6

And if you want it in standard form, it is:

y = -6/5x - 8