Answer:
y= -5/2x+11
Step-by-step explanation:
You want to first reorder the equation into slope intercept form
First subtract 5x from both sides
5x-5x+2y = -8-5x
It should look like:
2y = -5x - 8
Then isolate your y variable
Since the y is multiplied with 2 divide by 2 to isolate and remember to divide the other side as well
It should look like:
2y/2 = -5/2x -8/2
This will result in y = -5/2x - 4
Now since the line is parallel the slope will be the same but to pass through a different point the y intercept will have to change.
Re make your equation and you have:
y = -5/2x + b
Now plug in your (x,y) value for the x and y in the slope intercept form.
-9 = -5/2(8) +b
Now solve for b:
-9 = -40/2 +b
-9 = -20 +b
Isolate your y intercept by adding 20 to both sides
-9 + 20 = -20 + 20 +b
which results with b = 11
Now you have all components to your final slope intercept form giving you the answer
y = -5/2x + 11
