Question

Choose the point-slope form of the equation below that represents the line that passes through the points (-6, 4) and (2, 0).

y - 4 = -one half(x + 6)

y - 4 = 2(x + 6)

y + 6 = -one half(x - 4)

y + 6 = 2(x - 4)

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -6}}\quad ,&{\color{blue}{ 4}})\quad &({\color{red}{ 2}}\quad ,&{\color{blue}{ 0}})
\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}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 2

0-4=m(2-6)

Answer 3

hmmm what did you get for "m"? or the slope

Answer 4

never mind i found the answer