Question

How does the graph of the line change as you make b larger but keep m the same?




A.

The line beomes less steep.


B.

The line becomes steeper.


C.

The line moves upward.


D.

The line moves downward.

Answer 1

For example
y=3x+5 and y=3x+9

You can see that the slope is the same , but the "b" of the second line is 4 units bigger. This means we shifted the line 4 units up.

The diagonal is exactly same direction in both lines, y=3x+5 and y=3x+9

Also, here are the rules for the shifts (with a different example).


\(\large\color{ blue }{\large {\bbox[5pt, lightblue ,border:2px solid white ]{ \large\text{ }\\
\begin{array}{|c|c|c|c|}
\hline~~~~~~~~~~~~~~~~~~~~~~~~~~~\textbf{Shifts}~~~~~~~~~~~~~~~~~~~~~~~~~~~&~\rm{c~~~units~~~~} \\
\hline
\\f(x)= ∛x ~~~ ⇒ ~~~ f(x)= \sqrt[3]{x \normalsize\color{red}{ -~\rm{c}} } &~\rm{to~~the~~right~} \\
\text{ } \\
f(x)= ∛x ~~~ ⇒ ~~~ f(x)= \sqrt[3]{x \normalsize\color{red}{ +~\rm{c}} } &~\rm{to~~the~~left ~} \\
\text{ } \\
f(x)= ∛x ~~~ ⇒ ~~~ f(x)= ∛x \normalsize\color{red}{ +~\rm{c} } &~\rm{up~} \\
\text{ } \\
f(x)= ∛x ~~~ ⇒ ~~~ f(x)= ∛x \normalsize\color{red}{ -~\rm{c} } &~\rm{down~} \\ \\
\hline
\end{array} }}}\)

Answer 2

Just shifting the linr up

Answer 3

*line

Answer 4

Alright! Thanks!