Question

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

y = – Five-halvesx – 1
y = – Five-halvesx + 5
y = Two-fifthsx – 1
y = Two-fifthsx + 5

Answer 1

y = −(5/2)x − 1

Reason: 5x + 2y = 12 → y = −(5/2)x + 6, so slope = −5/2. Use point-slope with (−2,4): y − 4 = −(5/2)(x + 2) → y = −(5/2)x − 1.