Question

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5).

-1
1
0
1/2

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 1}}\quad ,&{\color{blue}{ -3}})\quad &({\color{red}{ 3}}\quad ,&{\color{blue}{ -5}})
\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}}}\)

Answer 2

y2-y1/x2-x1 =m use this equation and get the answer

Answer 3

slope = change in y / change in x
slope = (-3 -(-5)) / (1-3)
slope = (-3 +5) / (-2)
slope = 2 / -2
slope = -1

Answer 4

as @jdoe0001 said just simply plug in the numbers and subtract. Easy.

(x1,y1) (x2,y2)
(1, -3) (3, -5)
\[ \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}=\]