Question

What is the slope of the line that passes through the pair of points (3/2, -2) and (-3, 7/3)?

Answer 1

use the slope equeation. \[y2-y1\]----------\[x2-x1\]

Answer 2

Ok thanks @RhondaSommer

Answer 3

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ \frac{3}{2}}}\quad ,&{\color{blue}{ -2}})\quad
% (c,d)
&({\color{red}{ -3}}\quad ,&{\color{blue}{ \frac{7}{3}}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies
\cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\)

Answer 4

Nice graphics!

jazzy-1: Can you now calculate the slope?