So, we know that the equation in slope intercept form is written as y=mx+b. So we are given the point (-8,-2) and the slope m=5/2. So as a result, we can just plug in the numbers:
-2=5/2*-8+b, since we know that the point (-8,-2) goes through a line with a slope of 5/2. So now we just need to find b. So:
-2=-20+b, which means that b=18, since we would add 20 to both sides. So now as a result, we know the equation in slope intercept form is:
y=5/2*x+18.
Thank you for sending this problem and I hope you understand.
