Which of the following points lies on the line defined by y = -3x – 7? A. (2, -1)
B.(-2, 1)
C. (-2,-1)
D. (1,8)
E. (2, 1)

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Explanation:

If we tried the x coordinate of choice A, then,

y = -3x-7

y = -3*2-7

y = -6-7

y = -13

This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.

Let's try x = -2

y = -3x-7

y = -3*(-2)-7

y = 6-7

y = -1

This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.

If we tried x = 1, then,

y = -3x-7

y = -3*1-7

y = -3-7

y = -10

Which shows that (1,-10) is a point on this line, which rules out choice D.

The visual summary is shown below as a graph. Only point C is on the red line.

-3.5 degrees per hour

step-by-step explanation:

find the unit rate:

-12   1/4 degrees           12.25 degrees

= - = -3.5 degrees per hour

      3   1/2 hours               3.5 hours