Answer
y-0=$\frac{1}{2}$(x-4)
y=$\frac{1}{2}$x-2
Work Step by Step
If the x-intercept is 4, then the line contains the point (4,0). If the y-intercept, represented by the letter b, is -2, then the line contains the point (0,-2).
m=$\frac{y_2-y_1}{x_2-x_1}$
m=$\frac{-2-0}{0-4}$
m=$\frac{-2}{-4}$
m=$\frac{1}{2}$
y-y$_1$=m(x-x$_1$)
y-0=$\frac{1}{2}$(x-4)
This is point-slope form.
y=mx+b
y=$\frac{1}{2}$x+(-2)
y=$\frac{1}{2}$x-2
This is slope-intercept form.