Question

If y=2x+7 were changed to y=1/2x+7, how would the graph of the new function compare with the original?

Answer 1

In the form of y=mx+b, m is the slope

so in this situation, the slope has changed from 2 to 1/2, so the new function would have a slope where it rises 1 unit and "runs" across 2 units

Answer 2

y = 2x + 7.....the slope is 2 and the y int is 7

y = 1/2x + 7...the slope is 1/2 and the y int is 7

the only difference is the slope. And if the original equation has a slope of 2, and it is changed to a slope of 1/2, then it will have a less steep slope. So the slope will not be as steep, but the y intercepts will be the same.