Question

On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1).
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?

y − 1 = −2(x − 4)
y – 1 = Negative one-half(x – 4)
y – 1 = One-half(x – 4)
y − 1 = 2(x − 4)

Answer 1

Slope = (1 − 3)/(−2 − (−3)) = −2/1 = −2. A parallel line has the same slope and passes through (4,1), so

y − 1 = −2(x − 4).

Answer: y − 1 = −2(x − 4).