https://file.aiquickdraw.com/mathbot/file/1729638607727xzf6u7pn.jpg

The equation provided is \( y = -5x - 4 \), and the graph grid represents the coordinate plane. Let's break this down and explain how to plot it:

### Step 1: Identify the Slope and Y-Intercept
The equation is in slope-intercept form, \( y = mx + b \), where:
- \( m \) is the slope.
- \( b \) is the y-intercept (the point where the line crosses the y-axis).

For this equation:
- Slope \( m = -5 \), which means the line goes down 5 units for every 1 unit it moves to the right.
- Y-intercept \( b = -4 \), meaning the line crosses the y-axis at \( (0, -4) \).

### Step 2: Plot the Y-Intercept
Start by plotting the point \( (0, -4) \) on the y-axis.

### Step 3: Use the Slope to Find More Points
From \( (0, -4) \), use the slope \( -5 \) (which is \( \frac{-5}{1} \)) to plot more points:
- Move 1 unit to the right (along the x-axis), then 5 units down (because the slope is negative), which gives the next point at \( (1, -9) \).
- Move 1 unit to the left (along the x-axis), then 5 units up, to get the point \( (-1, 1) \).

### Step 4: Draw the Line
Now that you have points like \( (0, -4) \), \( (1, -9) \), and \( (-1, 1) \), you can draw a straight line through them to complete the graph of the equation \( y = -5x - 4 \).

Would you like further explanation or a more detailed breakdown of any part of this process?

Here are 5 related questions you might find interesting:
1. How do you determine if a line is increasing or decreasing based on its slope?
2. How do you find the x-intercept of the line \( y = -5x - 4 \)?
3. How does changing the slope affect the steepness of the line?
4. How can you rewrite the equation in standard form?
5. What are the key differences between slope-intercept form and point-slope form?

**Tip**: When working with slope, remember that positive slopes go up from left to right, and negative slopes go down from left to right.

Graph the equation y = -5x - 4 on the provided coordinate plane.

Learn how to graph the linear equation y = -5x - 4 on a coordinate plane. This problem focuses on identifying the slope and y-intercept and plotting the line accurately. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation