Question

Please help for medal!

Determine the slop of the line through the points (-1/2 ,-2) and (3/2 , 1)

Answer 1

@mathmale

Answer 2

@zzr0ck3r

Answer 3

@jdoe0001

Answer 4

for points \((a,b)\) and \((c,d)\) the slope of the line going through them is given by \[m=\frac{a-c}{b-d}\]

Answer 5

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -\frac{1}{2}}}\quad ,&{\color{blue}{ -2}})\quad &({\color{red}{ \frac{3}{2}}}\quad ,&{\color{blue}{ 1}})
\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}}}\)