Step 1
Given;
[tex]\begin{gathered} y=-4x+1 \\ y=-2x+6 \end{gathered}[/tex]
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;
[tex]\begin{gathered} 1)\text{ }The\text{ slope decreases from -4 to -2} \\ The\text{ minus just shows direction.} \end{gathered}[/tex][tex]This\text{ means the new graph will be less steep than the original graph}[/tex][tex]\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}[/tex]
Answer; The new graph would be less steep than the original graph, and
the y-intercept would shift up by 5 units. Option C
