Question

The function shows a linear relationship. Find the slope.

Answer 1

plot the number on a graph it'll help

Answer 2

Okay.

Answer 3

But I mean, how is it linear? It doesn't like, have a pattern.

Answer 4

im not quite sure

Answer 5

\(\large \begin{array}{ccllll}
x&y
\\\hline\\
0&1\\
{\color{red}{ 2}}&{\color{blue}{ 5}}\\
5&11\\
{\color{red}{ 6}}&{\color{blue}{ 13}}\\
7&15
\end{array}
\qquad
\begin{array}{llll}
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 2}}\quad ,&{\color{blue}{ 5}})\quad &({\color{red}{ 6}}\quad ,&{\color{blue}{ 13}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}
\end{array}\)

Answer 6

So jdoe, would I have to do that for every interval?