Question

{y = ½ x + 8 {y = mx - 6 1)What value of “m” makes the system show parallel lines? 2)Explain.

Answer 1

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Answer:

1. m = 1/2
2. lines are parallel when the slopes are the same

Explanation:

1) The given line is in "slope-intercept form."

y = mx + b . . . . . . . . line with slope m and y-intercept b

Comparing this to the given equation, we see ...

m = 1/2 . . . . slope of given line

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Two lines are parallel when they have the same slope. Then the value of m that makes the second line parallel to the first is the same value of m:

m = 1/2

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2) Lines with the same slope are parallel, so the value of m needs to match the coefficient of x (the slope) in the given equation.