Question

Give a reason for your answer choice above

Answer 1

Answer: Choice C

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Explanation:

Notice how, for each table shown, the x values are all increasing when reading from left to right.

To have a negative slope, the y values must decrease when reading from left to right.

Table C shows this. Eg: going from y = 8 to y = 0.

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We can pick two points from table C and plug them into the slope formula.

I'll pick the first two columns for the (x,y) values.

$(x_1,y_1) = (3,8) \text{ and } (x_2,y_2) = (5,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - 8}{5 - 3}\\\\m = \frac{-8}{2}\\\\m = -4$

You should get a slope of -4 for any pair of columns you pick in table C.

Tables A, B and D will produce some positive slope value.