Question

what equation represents the line that runs throught the points (1,5) and has a slope of -2?

Answer 1

try to put it in point slope form: y – y1 = m(x – x1)

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 1}}\quad ,&{\color{blue}{ 5}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= -2
\\ \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} \)