Question

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Answer 1

Answer: choice D) $y + 6 = \frac{5}{2}(x +2)$

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Explanation:

Pick any two points from the table to find the slope. I'll use the first two rows.

Let $(x_1,y_1) = (-4,-11) \text{ and } (x_2,y_2) = (-2,-6)$

So the slope is...

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-6 - (-11)}{-2 - (-4)}\\\\m = \frac{-6 + 11}{-2 + 4}\\\\m = \frac{5}{2}$

This means the answer is between choices A and D.

If we plugged in the set of x,y values from row 2, into the point-slope formula, then we would have

$y - y_1 = m(x - x_1)\\\\y - (-6) = \frac{5}{2}(x - (-2))\\\\y + 6 = \frac{5}{2}(x +2)$

which leads to choice D as the answer.

Answer 2

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