dennybithy
Answered

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

AIt would change orientation and slant up.
BIt would be less steep.
CIt would be steeper.
DIt would change orientation and slant down.

Verified Answer :

Trim

The x value governs the steepness of the line, so 12x is steeper than 2x

So the answer is C

The correct answer is:

C) It would be steeper.

Explanation:

These equations are in slope-intercept form.  

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The change from y=2x+7 to y=12x+7 is that 2 is changed to 12.  Both 2 and 12 are in the place of m, meaning they are the slope.

This means the y-intercept stays the same; they start in the same position.

The slope, or rate of change, changes from 2 to 12.  Since both are positive, the line will continue to point up (increase).  However, an increase in slope means the line will increase more quickly, which results in a steeper line.

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