Question

Write an equation parallel to 5x-4y=4 that passes through the point (-8,2)

Answer 1

Converting to  slope intercept form:-

5x - 4y = 4

-4y = -5x + 4

y = 5/4 x - 1  so the slope of the line = 5/4

Finding the line that passes through ( -8, 2) with the same slope:-

y - 2 = 5/4(x  - -8)   (Point-slope form)  

y = 5/4x + 10 + 2

y = 5/4 x + 12 is the answer is slope intercept form

In standard form :-

4y = 5x + 48

5x - 4y = -48   is the answer is standard form

Answer 2

The answer would be -40-8=4, and 4=-48, 1=-12, -40x-8y=4.