The line passing through which two points is parallel to the line x - 2y = 16? A) -6,-1 and 2,-5
B) -4,-6 and 2,-9
C) -5,7 and 0,-3
D) -1, 5 and 3,13
E) -4,7 and -2,8

Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

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The equation of a line, in slope-intercept formula, is given by:

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The line given is:

In slope-intercept formula:

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In this question, we want a line with an slope of 1/2.

At option E, the points are (-4,7) and (-2,8), thus, the slope is:

Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

A similar problem is given at link

E) -4,7 and -2,8

Step-by-step explanation:

parallel lines have same slope

x - 2y = 16

y = 1/2 x -8     slope: 1/2

E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2

b

step-by-step explanation: