Question

a line with a slope of 2 passes through (3,9). what is the equation of this line?

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 9}})\quad
% (c,d)

\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies 2
\\ \quad \\
% point-slope intercept
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

point-slope form

Answer 3

Y-9=2(x-3) do you understand how I got that