Question

Write the equation of the line that is parallel to the line 5x - 4y = 4 and passes through the point (-8, 2).

y = 5/4x - 12
y = 4/5x + 12
y = -5/4x - 6
y = 5/4x + 12
y = -4/5x - 8

Answer 1

First find the slope of 5x - 4y = 4: y = (5/4)x - 1 so slope = 5/4. A line through (-8,2) with that slope:

y - 2 = (5/4)(x + 8) => y = (5/4)x + 12.

Answer: y = 5/4x + 12.