Question

Determine the slope of the line that runs through points (-3,6) And (0,-8) using the slope formula.

YT -- YT

M= --------------

X2 – X2

Answer 1

`\large\textsc{answer :}`

Pls refer to "calculations" !

`\large\textsf{\textbf{Calculations :}}`

`\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope \:formula : }\\ $\displaystyle(y2-y1)/(x2-x1) \\ \end{minipage}}`

`\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\::} \\ $\displaystyle(-8-6)/(0-(-3)) \\ \end{minipage}}`

Simplify as follows :

`\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\:: }\\ $\displaystyle(-14)/(0+3)$ \end{minipage}}}`

`\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\::}$-\displaystyle(14)/(3)$ \\ \end{minipage}}`

`\texttt{F}\textbf{I}\textsf{N}\pmb{A}\rm{L}\:\textsf{A}\textbf{N}\texttt{S}\rm{W}\sf{E}\mathbb{R}\::`

`\text{$-\displaystyle(14)/(3) $}`

`\small{\textsc{hope\:helpful~}`

Answer 2

-14/3

Explanation:

6 - (-8) 14

---------- = --------

-3 - 0 -3