If you wanted to make the graph of y = 7x - 14 steeper, as well as shift the y

intercept of this line up, which equation could you use?

A. y = 5x - 18

B. y = 9x - 10

C. y = 5x - 10

D. y = 9x - 18

Option B: y = 9x - 10.

Step-by-step explanation:

General equation of a straight line in the 2-D plane is given by:

y = mx + c; where m is the slope and c is the y-intercept.

The given equation of the line is y = 7x - 14; where m=7 and c=-14.

To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.

To shift the y-intercept of this line up, the y-intercept has to be increased. Since - 10 is greater than - 14 and - 18 is lesser than - 14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!