Question

Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of one half.

Answer 1

Point slope form is
y = m(x-h) + k
where m is the slope
and (h, k) is a point on the line

in this case
m = slope = 1/2
and  point (h, k) is  (6, -3)

plugging in what we know:
y = (1/2)(x - 6) - 3
or   y + 3 = (1/2)(x - 6)
would be your equation in point slope form