Question

Write in standard form an equation of the line passing through the given point with the given slope.

Slope= 1/6; (-1,5)

a.
x + 6y = 31
b.
-x + 6y = -31
c.
-x - 6y = 31
d.
x - 6y = -31

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -1}}\quad ,&{\color{blue}{ 5}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{1}{6}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and move everything to the left}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 2

Thank you :D

Answer 3

yw