Write an equation in point-slope form of the line that passes through the point (−3, 0) and has a slope of −1/3.

Answer 1

Point slope form works as follows

y - (y coordinate of point) = (slope)(x - x coordinate of point)

Following this formula

y - 0 = -1/3(x- (-3))

Simplify a little and get

y = -1/3(x+3)

Answer 2

y = mx + b with me the slope.

Plug in the point to find b.

0 = (-1/3)(-3) + b

0 =1 + b

b = -1

y = (-1/3)x - 1

Factor out -1/3.

y = (-1/3)(x + 3)