Identify the slope and y-intercept. Then, graph the linear equation.

Question

`y-5=-3x`
Begin with `b,` the y-intercept:
Type the number only. Do NOT enter a coordinate. Move with `m,` the slope

Answer 1

To identify the slope and y-intercept from the equation \( y - 5 = -3x \), we can rewrite it in slope-intercept form (which is \( y = mx + b \)):

1. Start with the given equation: \[ y - 5 = -3x \]

2. Add 5 to both sides to isolate \( y \): \[ y = -3x + 5 \]

Now we can identify \( b \) (the y-intercept) and \( m \) (the slope):

• The y-intercept \( b \) is \( 5 \).
• The slope \( m \) is \( -3 \).

So for what you've asked:

• b (y-intercept): 5
• m (slope): -3

Now, let's summarize the answers:

• b: 5
• m: -3

To graph the equation \( y = -3x + 5 \), you would:

1. Plot the y-intercept (0, 5) on the graph.
2. From this point, use the slope \(-3\) (which means down 3 units for every 1 unit to the right) to plot another point.

Continue this process to graph the line!