Answer:
y = 3/5x + -9
or y = 3/5x - 9
Explanation:
Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b
Here is what this equation stands for:
y = the y in the order pair you are given, in this case it would be -6
m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5
x = the x in the ordered pair you are given, in this case it would be 5
b = This is the y-intercept, you will mostly be solving for this most of the time
(5,-6)
(x, y)
y = mx+b (Use this Formula)
-6 = 3/5(5) +b (The numbers have been substituted within the formula)
-6 = 3+b (simplify the equation by multiplying the slope by the x)
-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")
-9 = b (solve)
y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)
I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!