Question

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4).
Which points lie on the line that passes through point P and is parallel to the given line? Select three options.

(–4, 2)
(–1, 3)
(–2, 2)
(4, 2)
(–5, –1)

Answer 1

Slope of the given line = (2 - (−4)) / (4 - (−2)) = 6/6 = 1.
Line through P(0,4) with slope 1: y = x + 4. Check each point:

- (−1, 3): 3 = −1 + 4 → yes
- (−2, 2): 2 = −2 + 4 → yes
- (−5, −1): −1 = −5 + 4 → yes

Answers: (−1, 3), (−2, 2), (−5, −1).