Find the slope of the graph of the equation. See Example 1.


*y* = −3*x* − 4

*x*3    −34−4

Find the *y*-intercept of the graph of the equation.


(3, 0)(4, 0)    (0, −3)*y* = *x*(0, −4)

Let's break this down step by step based on the given equation:

### 1. Finding the Slope
The equation is in the form:

\[
y = -3x - 4
\]

This is a **linear equation** in slope-intercept form:

\[
y = mx + b
\]

Where:
- \(m\) is the slope,
- \(b\) is the y-intercept.

In your equation \(y = -3x - 4\):
- The slope \(m = -3\),
- The y-intercept \(b = -4\).

### 2. Finding the y-intercept
From the equation, the y-intercept is where the line crosses the y-axis, which happens when \(x = 0\). Substituting \(x = 0\) into the equation:

\[
y = -3(0) - 4 = -4
\]

Thus, the y-intercept is the point \((0, -4)\).

### Summary:
- The **slope** of the line is \(-3\).
- The **y-intercept** is the point \((0, -4)\).

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Would you like more details or clarifications? Here are some related questions you might consider:

1. How do you find the slope if an equation is not in slope-intercept form?
2. How would you find the x-intercept of the graph?
3. What does the slope tell you about the steepness of the graph?
4. How can you graph this equation step by step?
5. How do you calculate the slope between two points on a line?

**Tip:** The slope is a measure of how much the line rises or falls for each unit of movement along the x-axis!

Find the slope of the graph of the equation y = −3x − 4. Also, find the y-intercept of the graph.

Learn how to find the slope and y-intercept of the linear equation y = −3x − 4. This solution breaks down key algebraic concepts such as the slope-intercept form, calculating the slope (m = -3), and finding the y-intercept (b = -4). Suitable for students in Grades 6-8.

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