Question

Emelina wrote the equation of a line in point-slope form as shown below.

(y + 4) = 3 (x + 2)

What is Emelina’s equation in slope-intercept form?
y = 3x + 2
y = 3x +10
y = 3x – 4
y = 3x – 10

Answer 1

To convert Emelina's equation from point-slope form to slope-intercept form, we will start with the equation she wrote:

\[
(y + 4) = 3(x + 2)
\]

First, we'll distribute the \(3\) on the right side:

\[
y + 4 = 3x + 6
\]

Next, we subtract \(4\) from both sides to isolate \(y\):

\[
y = 3x + 6 - 4
\]

This simplifies to:

\[
y = 3x + 2
\]

So, Emelina's equation in slope-intercept form is:

\[
\boxed{y = 3x + 2}
\]