Question

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.

Answer 1

The answer would be B

Answer 2

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.