Question

What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of 2/3?

Answer 1

The equation of the line that passes through the point (-6, -6) is “y = 2/3x - 2”.

Answer 2

y = 2/3 x -2

Explanation:

We have a point and a slope

y = mx+b

The slope, m, = 2/3

y = 2/3 x+ b

The point is (-6,-6)

Substitute this into the equation to solve for b

-6 = 2/3 (-6) +b

-6 = -4+b

Add 4 to each side

-6+4 = -4+4+b

-2 =b

Substitute into the equation

y = 2/3 x+ b

y = 2/3 x -2