Question

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

y – 1=Negative three-halves(x + 3)
y – 1=Negative two-thirds(x + 3)
y – 1= Two-thirds(x + 3)
y – 1= Three-halves(x + 3)

Answer 1

Slope = (2 − (−4)) / (2 − (−2)) = 6/4 = 3/2.
So the parallel line through (−3, 1) is: y − 1 = (3/2)(x + 3).

Answer: y – 1 = Three-halves(x + 3)