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

When the slope and one point are known, finding the equation of the line is relatively easy.

Start with y-k = m(x-h), where m is the slope and (h,k) is one point on the line.  Then

y-0 = (-1/3)(x-(-3)), or y = (-1/3)x - (1/3)(3), or y = (-1/3)x - 1   (answer)

Be sure to check this result!  Let x = -3.  Does y come out to 0, as it should?