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The given equation is in point-slope form:

\[
y + 4 = -3(x - 5)
\]

To convert this to slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept, we will follow these steps:

### Step 1: Distribute the slope (-3)
\[
y + 4 = -3(x - 5)
\]
\[
y + 4 = -3x + 15
\]

### Step 2: Isolate \(y\)
Subtract 4 from both sides:
\[
y = -3x + 15 - 4
\]
\[
y = -3x + 11
\]

The equation in slope-intercept form is:
\[
y = -3x + 11
\]

Let me know if you'd like further details or have any questions!

Here are five related questions:
1. How do you convert any point-slope form equation to slope-intercept form?
2. What are the benefits of using the slope-intercept form of a line equation?
3. How do you determine the slope and y-intercept from the slope-intercept form of an equation?
4. What is the geometric significance of the point used in point-slope form?
5. Can you graph the line using the slope-intercept form of the equation?

**Tip:** When converting between forms of equations, always isolate \(y\) to achieve slope-intercept form.

Rewrite the point-slope form equation into slope-intercept form.

Given: y + 4 = -3(x - 5)

Learn how to convert the point-slope form equation y + 4 = -3(x - 5) into slope-intercept form. This step-by-step solution explains how to distribute the slope and isolate y, resulting in the equation y = -3x + 11. Suitable for students in Grades 8-10.

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