Question

if y = 2x + 7 were changed to y = 12x + 7, how would the graph of the new function compare with the original?

a. it would change orientation and slant up.
b. it would be steeper.
c. it would be less steep.
d. it would change orientation and slant down.

Explanation:

The equations $y = 2x+7$ and $y = 12x + 7$ are in slope - intercept form $y=mx + b$, where $m$ is the slope. The slope of the first function is 2 and the slope of the second is 12. A larger positive slope makes the line steeper. Since both slopes are positive, the orientation (going up from left to right) remains the same.

Answer:

B. It would be steeper.