Question

Which is an equation in point-slope form for the given point and slope?



Point: (5, 9); Slope: 2



A.


y – 9 = 2(x – 5)


B.


y – 9 = 2(x + 5)


C.


y + 9 = 2(x – 5)


D.


y – 5 = 2(x + 9)

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 5}}\quad ,&{\color{blue}{ 9}})\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 }\\
\qquad \uparrow\\
\textit{point-slope form} \)

Answer 2

so would it be A?

Answer 3

well... once you plug in your values.. did you get A?

Answer 4

\(\bf \bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 5}}\quad ,&{\color{blue}{ 9}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= 2
\\ \quad \\

y-{\color{blue}{ 9}}={\color{green}{ 2}}(x-{\color{red}{ 5}})\qquad \textit{plug in the values }\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 5

so would it be A? \(\large \checkmark \)

Answer 6

yes i believe so!!