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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.

2 Answers

3 votes
The answer would be B
User Ali Mahmoodi
by
8.2k points
4 votes

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

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=(y_2-y_1)/(x_2-x_1)

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


m=(0-(-3))/(-2-(-3))=(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.

User Blayzeing
by
8.6k points

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