Answered

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Do the points (15, -12), (28,14), and (32,21) all lie on the same line? Be sure you can explain why or why not.

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Choosing different pairs of points we got different slopes, then we conclude that the 3 points don't lie on the same line.

Do the points lie on the same line?

Remember that if a line contains two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

Here the 3 points are on the same line if we get the same slope for any pair that we choose.

If we use the first two; (15, -12) and (28, 14), the slope is:

a = (14 - (-12))(28 - 15) = 8.67

If we use the second and third point (28, 14) and (32, 21), we get:

a = (21 - 14)/(32 - 28) = 6.125

We got different slopes, then we conclude that the 3 points don't lie on the same line.

If you want to learn more about lines:

https://brainly.com/question/3493733

#SPJ1

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