Question

Write an equation of the line passing through the points (1,-10) and (-3,6)

Answer 1

@jdoe0001

Answer 2

Can you give me a reminder of how to do this?

Answer 3

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 1}}\quad ,&{\color{blue}{ -10}})\quad &({\color{red}{ -3}}\quad ,&{\color{blue}{ 6}})
\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}}}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form} \)

Answer 4

y=-4x-6?

Answer 5

y=-4x-6? \(\large \checkmark\)