Intermediate Algebra, Chapter 3, Review Exercises, Section Review Exercises, Problem 28

Determine an equation for the line that has a slope of $3$ and goes through $(-1,4)$

a.) Write the equation in slope intercept form.
b.) Write the equation in standard form

We are given $m = 3$ and $(x_1, y_1) = (-1, 4)$
a.) Then by using point slope form, we have

$
\begin{equation}
\begin{aligned}
y - y_1 &= m(x - x_1)\\
\\
y - 4 &= 3 (x - (-1))\\
\\
y -4 &= 3(x + 1)\\
\\
y - 4 &= 3x + 3
\end{aligned}
\end{equation}
$

So, the equation in slope intercept form is
$y = 3x + 7$

b.) By transforming into general form $Ax + By = C$, we get
$ -3x + y = 7$