Question

Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6.

y + 3 = -6(x + 2)

y + 2 = 6(x + 3)

y - 3 = -6(x - 2)

y - 2 = 6(x - 3)

Answer 1

These are all in point-slope form. Remember that point-slope form is represented by y - y1 = m(x - x1), where (x1, y1) are any given coordinate on the function.

You're given that m = -6 and that (x1, y1) = (-2, -3). Simply plug them into the point-slope formula to find the appropriate equation.

y - y1 = m(x - x1)
y + 3 = -6(x + 2)

In this case, the correct answer would be the first option.