Question

which of the following is correct statement about this relation?

Answer 1

Given:

The relation is:

(-3,1),(-2,3),(-1,5),(0,7),(1,9),(2,11)

To find:

The slope and y-intercept for the given relation.

Solution:

Consider any two points from the given relation.

Let the two points are (0,7) and (1,9). So, the slope of the given relation is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{9-7}{1-0}$

$m=\dfrac{2}{1}$

$m=2$

The slope of the given relation is 2.

A point of relation is (0,7). It means the value of relation is 7 at x=0.

So, the y-intercept is 7.

Therefore, the correct option is D.