Question

The ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20) Which of the following is a correct statement about this relation? A. The slope of the line represented by this table is -4 and the y-intercept is -3. B. The slope of the line represented by this table is 4 and the y-intercept is 12. C. The slope of the line represented by this table is 4 and the y-intercept is -3. D. The slope of the line represented by this table is -4 and the y-intercept is 12.

Answer 1

The answer is B.
The slope of the line represented by this table is 4 and the y-intercept is 12.

Answer 2

The correct option is B.

Explanation:

It is given that the ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20).

At y-intercept the value of x is 0. From the given points we can say that the y-intercept of the function is (0,12).

If a line passing through the two points, then the slope of the function is

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

The slope of the function is

`m=(4-0)/(-2-(-3))=(4)/(1)=4`

Therefore the slope of the line represented by this table is 4 and the y-intercept is 12. Option B is correct.