Graph the linear equation. \( 8=3 x-y \)

To graph the linear equation \( 8 = 3x - y \), we can first rearrange it into the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Starting with the equation: \[ 8 = 3x - y \] We can rearrange it to solve for \( y \): \[ y = 3x - 8 \] Now, we can identify the slope and y-intercept: - The slope \( m = 3 \) - The y-intercept \( b = -8 \) ### Steps to Graph the Equation: 1. **Plot the y-intercept**: Start by plotting the point where the line crosses the y-axis. This occurs at \( (0, -8) \). 2. **Use the slope to find another point**: The slope of 3 means that for every 1 unit you move to the right (positive direction on the x-axis), you move up 3 units (positive direction on the y-axis). Starting from the y-intercept \( (0, -8) \): - Move 1 unit to the right to \( x = 1 \). - Move up 3 units to \( y = -5 \). - This gives you the point \( (1, -5) \). 3. **Draw the line**: Now that you have two points, \( (0, -8) \) and \( (1, -5) \), you can draw a straight line through these points. Extend the line in both directions. ### Summary of Points: - y-intercept: \( (0, -8) \) - Another point: \( (1, -5) \) ### Graph: You can plot these points on a coordinate plane and draw a line through them to represent the equation \( y = 3x - 8 \). The line will slope upwards from left to right, reflecting the positive slope of 3.