Question

What is the slope of the line that passes through the points (3, 4) and (5, –4)?

A.-4


B.0


C.4


D.-1/4

Answer 1

Use slope formula...

\(\Huge{slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}}\)

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad
% (c,d)
&({\color{red}{ 5}}\quad ,&{\color{blue}{ -4}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies
\cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\)

Answer 3

-4 is the answer