Question

Given the points A(1,-3) and B(-4,7), find the slope of a line parallel to line AB.

m=2

m=-1/2

m =-2

m=1/2

Answer 1

Answer: Choice C) m = -2

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Step-by-step explanation:

Let's find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (7-(-3))/(-4-1)

m = (7+3)/(-4-1)

m = 10/(-5)

m = -2

The slope of line AB is -2

The slope of any line parallel to line AB will also have the same slope.

Parallel lines have equal slopes, but different y intercepts.