geometry question in college algebra

Question

Find the slope-intercept form of the line that satisfies the given conditions.

x-intercept 6,    y-intercept −3

Answer 1

y intercept is (0,-3), x intercept is (6,0) the line through them has slope = m = (0--3)/(6-0) = 3/6 = 1/2

slope intercept general equation is

y=mx+ b, plug in m= 1/2 and b = -3

to get

y=(1/2)x - 3