Question

Please help!! ;(

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

Point: (5, 9); Slope: 2

A.
y – 5 = 2(x + 9)

B.
y + 9 = 2(x – 5)

C.
y – 9 = 2(x + 5)

D.
y – 9 = 2(x – 5)

Answer 1

Point slope form is

\[\Large y - y_1 = m(x - x_1)\]

Answer 2

m is the slope

(x1,y1) is the point that the line goes through

Answer 3

i think it is b

Answer 4

\(\bf Point:\ (5, 9); Slope:\ 2\\

\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 5

thanks for the quick replies :). i get it now