Question

If y=-4x+1 were changed to y=-2x+6, how would the graph of the new linecompare with the first one?A. The new graph would be steeper than the original graph, and the yintercept would shift down 2 units.B. The new graph would be less steep than the original graph, andthe y-intercept would shift down 2 units.C. The new graph would be less steep than the original graph, andthe y-intercept would shift up 5 units.D. The new graph would be steeper than the original graph, and the y-intercept would shift up 5 units.SUBMIT

Answer 1

Answer: is C

Explanation:

Answer 2

Step 1

Given;

`\begin{gathered} y=-4x+1 \\ y=-2x+6 \end{gathered}`

Required; how would the graph of the new line

compare with the first one?

Step 2

The graph of y=-4x+1 is seen below;

The graph of y=-2x+6 is seen below

Thus, when we compare the new line with the first one we have that;

`\begin{gathered} 1)\text{ }The\text{ slope decreases from -4 to -2} \\ The\text{ minus just shows direction.} \end{gathered}`
`This\text{ means the new graph will be less steep than the original graph}`
`\begin{gathered} 2)\text{ The y-intercept changes from 1 to 6} \\ This\text{ means the y-intercept shifted up by 5 units} \end{gathered}`

Answer; The new graph would be less steep than the original graph, and

the y-intercept would shift up by 5 units. Option C