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A line passes through the points ( – 8,8) and (12, – 7). Which points lie on the same line? Select all that apply.

User Dustydojo
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1 Answer

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The points that are also on the line are (0,2), (8,-4) (16,-10) and (-12,11)

Hwo to determine the points that are also on the line

From the question, we have the following parameters that can be used in our computation:

Points = (-8, 8) and (12, -7)

The slope of the above points is represented as

Slope, m = (-7 - 8)/(12 + 8)

Evaluate

m = -0.75

A linear equation is represented as

y = mx + c

So, we have

y = -0.75x + c

Using the points, we have

-0.75 * -8 + c = 8

6 + c = 8

Evaluate

c = 2

So, we have

y = -0.75x + 2

Testing the points, we have

y = -0.75 * -16 + 2 = 14

y = -0.75 * 0 + 2 = 2

y = -0.75 * 4 + 2 = -1

y = -0.75 * 8 + 2 = -4

y = -0.75 * 16 + 2 = -10

y = -0.75 * -12 + 2 = 11

Hence, the points are (0,2), (8,-4) (16,-10) and (-12,11)

Question

A line passes through the points (-8,8) and (12,-7). Which points lie on the same line? Select all that apply. (-16,16) (0,2) (4,5) (8,-4) (16,-10) (-12,11)

User Wouter Thielen
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6.9k points