Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept
Since you know m = [tex]\frac{2}{3}[/tex], you can plug it into the equation
y = mx + b
[tex]y=\frac{2}{3}x + b[/tex]
To find "b", plug in the point (-9, 5) into the equation
[tex]y=\frac{2}{3}x + b[/tex]
[tex]5=\frac{2}{3}(-9)+b[/tex]
[tex]5=\frac{-9(2)}{3}+b[/tex]
[tex]5=\frac{-18}{3} +b[/tex]
5 = -6 + b Add 6 on both sides
11 = b
[tex]y=\frac{2}{3}x+11[/tex]
