The ordered pairs below represent a linear relation between x and y.

(-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12)

Which of the following is a correct statement about this relation?

a. The slope of the line represented by this table is -3 and the y-intercept is 6.

b. The slope of the line represented by this table is 3 and the y-intercept is 6.

c. The slope of the line represented by this table is -3 and the y-intercept is -2.

d. The slope of the line represented by this table is 3 and the y-intercept is -2.

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Verified Answer :

Luisanny Luisanny · Answer 1 · 2016-09-23T23:32:41-04:00

The answer would be B

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JeanaShupp JeanaShupp · Answer 2 · 2019-02-25T03:33:42-05:00

Answer: b. The slope of the line represented by this table is 3 and the y-intercept is 6.

Step-by-step explanation:

Given : The ordered pairs below represent a linear relation between x and y.

(-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12)

The slope of line is given by :

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Now, slope of the given line by using points (-3,-3) and (-2,0).

\(m=\frac{0-(-3)}{-2-(-3)}=\frac{3}{1}=3\)

Hence, the slope of line is 3.

We know that the y intercept has x coordinat zero.

From the given points we can see that in point (0,6), x coordinate is 0.

Therefore, the y intercept of the line is 6.