Answer:
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!!!
