Step-by-step explanation:
[tex]Slope-intercept: y=mx+b[/tex]
We have a slope, but we do not have an y-intercept. However, we do have a coordinate point. We can use this coordinate point to find the y-intercept. We can use -9 for x and 5 for y.
[tex]5=\frac{2}{3} (-9)+b[/tex]
Multiplt 2/3 by -9.
[tex]5=6+b[/tex]
Subtract 6 on both sides of the equation so we can get b by itself.
[tex]-1=b[/tex]
So, your y-intercept is -1.
Now that we have our slope and our y-intercept, we can construct our slope-intercept equation.
[tex]y=\frac{2}{3}x-1[/tex]
