Question

15.

Which is an equation of a line that is parallel to MN?
N
M M
.
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A. y = 2x-3
B. y = 1/2x - 3/2
C. y = -2x + 1
D. y = -1/2x -
16
Henry wants to join a
book-of-the-month club. The
first club costs $40 to join and
A 15

Answer 1

B: y = 1/2x - 3/2

Explanation:

Given points M (-3, 2) and N (1, 4):

The slope of line MN can be determined using the slope formula:

`m = (y2 - y1)/(x2 - x1) = (4 - 2)/(1 - (- 3)) = (2)/(4) = (1)/(2)`

Therefore, the slope of line MN = 1/2.

By definition, parallel lines have equal slopes. Since the slope of line MN = 1/2, then it means that the slope of the other line parallel to line MN must also be 1/2.

Therefore, the correct answer is B: y = 1/2x - 3/2.