Question

What happens to the graph of y=12x+5 when the equation of the line becomes y= 4x+5

a) the line is 4 times as steep
b) the line is 1/4 as steep
c) the line is 3 times as steep
d) the line is 1/3 as steep

Answer 1

I believe that the answer would be D) the line is 1/3 as steep. Since the slope was 12 in the first equation, and the slope was 4 in the second equation, I can compare them in a fraction 4/12=1/3. 12 is three times larger than 4, and 4 is 1/3 of 12.