Precalculus, Chapter 1, 1.3, Section 1.3, Problem 46

Determine an equation for the line with a slope $2$ containing the point $(4,-3)$. Express your answer using the general form or the slope intercept form of the equation of a line, which ever you prefer.

Using the Point Slope Form to find the equation


$
\begin{equation}
\begin{aligned}

y - y_1 =& m(x- x_1)
&& \text{Point Slope Form}
\\
y - (-3) =& 2(x-4)
&& \text{Substitute $m = 2, x = 4$ and $y = -3$}
\\
y + 3 =& 2x - 8
&& \text{Simplify}
\\
y =& 2x - 11
&& \text{Slope Intercept Form}
\\
\text{or} &
&&
\\
2x-y =& 11
&& \text{General Form}

\end{aligned}
\end{equation}
$