Slope-Intercept form is y=mx+b where b is the y-intercept and m is slope
y-4=3/4(x+8)
First distribute that 3/4 into (x+8)
y-4 = (3/4)x + 24/4
Add 4 to both sides and simplify 24/4
y = (3/4)x + 6 + 4
Combine like terms and you're done!
y = (3/4)x + 10