To learn how to change point-slope form into slope-intercept form of a line, let's first remember what these forms mean.

Point-Slope Form looks like this:
$y - y_1 = m(x - x_1)$
Here, $(x_1, y_1)$ is a specific point on the line, and $m$ is the slope of the line.

Slope-Intercept Form is written as:
$y = mx + b$
In this case, $m$ is the slope and $b$ is where the line crosses the y-axis.

Steps to Change Point-Slope to Slope-Intercept Form:

1. Start with Point-Slope Form:
   Imagine you have a line that goes through the point $(x_1, y_1)$ and has a slope of $m$. You would begin with: $y - y_1 = m(x - x_1)$

2. Distribute the slope:
   Multiply $m$ by the part in the parentheses $(x - x_1)$: $y - y_1 = mx - mx_1$

3. Get $y$ by itself:
   To turn this into slope-intercept form, add $y_1$ to both sides: $y = mx - mx_1 + y_1$

4. Find the y-intercept:
   Now rewrite the equation: $y = mx + (y_1 - mx_1)$
   Here, $b$ is equal to $y_1 - mx_1$, which tells us the y-intercept.

Example:

Let’s say you have the point $(2, 3)$ and a slope of $4$. Start with:
$y - 3 = 4(x - 2)$

Now, distribute the $4$:
$y - 3 = 4x - 8$

Next, add $3$ to both sides:
$y = 4x - 5$

Now we have changed from point-slope form to slope-intercept form!