Answer:
Step-by-step explanation:
We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.
We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.
[tex]y=mx+b\\8=-\frac{2}{3}*-3 +b\\8=2+b\\b=8-2\\b=6[/tex]
Let's plug all of this back into the first equation y=mx+b.
[tex]y=mx+b\\y=-\frac{2}{3}x+6[/tex]
That's the answer to this problem.
I hope this helps.
