To identify the slope and y-intercept from the equation \( y - 5 = -3x \), we can rearrange it into slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
Starting with the given equation: \[ y - 5 = -3x \]
Adding 5 to both sides: \[ y = -3x + 5 \]
From this form of the equation, we can identify:
- The slope \( m = -3 \)
- The y-intercept \( b = 5 \)
Answer:
b, the y-intercept: 5
m, the slope: -3
Now, you can graph the linear equation using the slope and y-intercept. The y-intercept \( (0, 5) \) is where the line crosses the y-axis, and the slope \( -3 \) indicates that for each unit increase in \( x \), \( y \) decreases by 3 units.