Question

Choose the correct slope of the line that passes through the points (−4, 8) and (−3, −6).



7
−14
0
14

Answer 1

The slope of a line is the
change in y (y2 - y1)
---------- = --------
change in x (x2 - x1)

You may here it referred to as rise over run. Rise is the change in y, how much the graph goes up or down. Run is change in x, how much the graph goes left or right

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ -4}}\quad ,&{\color{blue}{ -3}})\quad
% (c,d)
&({\color{red}{ -3}}\quad ,&{\color{blue}{ -6}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies
\cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\)

Answer 3

And also which coordinates you make (x1, y1) and (x2, y2) doesn't matter because you will essentially take the difference of the y and difference of x.
So you can make

Answer 4

so is my answer -14

Answer 5

Yes that's correct.