Question

A line passes through the point (5,-2) and has a slope of -1/3.Which equation models the line

Answer 1

`y + 2= -(1)/(3)(x-5)`

Explanation:

To write the equation of a line with a slope and a point, use the point slope form of the line. Substitute m = -1/3 and (5, -2).

`y - y_1 = m(x-x_1)\\y --2 = -(1)/(3)(x - 5)\\y + 2 = -(1)/(3)(x-5)`

You can convert to slope intercept form.

`y + 2 = -(1)/(3)(x-5)\\y + 2 = -(1)/(3)x + (5)/(3)\\y = -(1)/(3)x + (5)/(3) -2\\y = -(1)/(3)x - (1)/(3)`