SOLUTION: if you wanted to make the graph of y=2x+5 steeper, which equation could you use A.y=x+5 B.y=4x+5 C.y=2x+8 D.y=-2x+5

Algebra ->  Graphs -> SOLUTION: if you wanted to make the graph of y=2x+5 steeper, which equation could you use A.y=x+5 B.y=4x+5 C.y=2x+8 D.y=-2x+5      Log On


   



Question 739763: if you wanted to make the graph of y=2x+5 steeper, which equation could you use
A.y=x+5
B.y=4x+5
C.y=2x+8
D.y=-2x+5

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
if you wanted to make the graph of y=2x+5 steeper, which equation could you use
-----------
The "steepness" or slope is the coefficient of x.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The steepness of a line is determined by its slope m.

If you have learned 

y = mx + b, and that m, the coefficient of x is the slope. 

then you know that the slope of

y = 2x + 5 is 2 because the coefficient of x is 2.

You should know that the slope of answer A

y = x + 5 is 1 because the coefficient of x is 1. So it's not as steep. 

You should know that the slope of answer B

y = 4x + 5 is 4 because the coefficient of x is 4. So it's steeper.

You should know that the slope of answer C

y = 2x + 8 is 2 because the coefficient of x is 4. So it's the SAME
steepness, it's not steeper.

You should know that the slope of answer D

y = -2x + 5 is -2 because the coefficient of x is 4. So it's the SAME
steepness, it's not steeper.  The negative sign just means that it 
slopes down to the right.

Lines with positive slopes slope up to the right like this / and lines 
with negative slopes slope down to the right like this \.

Anyway, the correct answer is B, for it's the only one steeper than
the given line with slope 2.

Edwin