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

Question

need math help

Answer 1

Another solution technique is to use

y = mx + b

Substitute in the given values, since the equation must be true for ALL points on the line:

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

Simplify:

-6 = 2 + b

Subtract 2 from both sides:

-8 = b

Finally, put the pieces together:

y = (-2/3)x -8

Answer 2

y-y₀ = m(x-x₀)

m = -2/3

y₀=-6

x₀=-3

Substitute in the values for m, y₀ and x₀ and manipulate to put in the form:

y = mx + b