Answer:
(b) y = 4x +15; y = 10x -2
Explanation:
It is often sufficient to check for reasonableness in the offered answers. That is the case here.
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The offered answer choices differ in the combinations of slope. The offered slopes (x-coefficients) are 4 or 1/4, 10 or 1/10, so it is sufficient to determine if the slope is greater than 1 in each case.
The slope is the ratio of the change in y to the change in x. It will be greater than 1 if y changes by a larger number than x does.
1st Table
x-values in this table change by 4-2 = 2. y-values change by 31 -23 = 8, which is more than 2. The slope is greater than 1 for the first equation. (It is 8/2 = 4.)
2nd Table
The first two x-values in this table differ by 0-(-1) = 1. The first two y-values differ by -2-(-12) = 10, which is more than 1. The slope is also greater than 1 for the second equation. (It is 10/1 = 10.)
Answer choices
The x-coefficients in the answer choices are ...
a) 1/14, 1/10 . . . incorrect
b) 4, 10 . . . . correct
c) 1/4, 10 . . . . partly correct
d) 4, 1/10 . . . . partly correct