Question

Which is an equation in point-slope form for the given point and slope?
Point: (2, -6) ; Slope: -3/4

Answer 1

i think the equation you need to plug it into is y=mx+b

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 2}}\quad ,&{\color{blue}{ -6}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= -\cfrac{3}{4}
\\ \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 3

hmmm actually if you need it in "point-slope form" then just don't solve for "y" :)
leave it like so, notice that's the point-slope form already anyhow

Answer 4

?

Answer 5

I think..

Answer 6

plug in your values... they're all given anyhow

Answer 7

okay, the first part is y-6 , right?

Answer 8

I just want to make sure im doing it right

Answer 9

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 2}}\quad ,&{\color{blue}{ -6}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= -\cfrac{3}{4}
\\ \quad \\

y-{\color{blue}{ (-6)}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\\
\qquad \uparrow\\
\textit{point-slope form}\)

-(-6) = +6

Answer 10

y + 6 = - 3/4 (x-2) ?

Answer 11

yeap