Question
identify the slope (m) and y-intercept (b) by typing them in the boxes below. then, graph the linear equation m.
y=-1/4x + 2
y=-1/4x + 2
Answers
GPT-4o mini
The given equation is in the slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
From the equation \(y = -\frac{1}{4}x + 2\):
- **Slope (m)**: \(-\frac{1}{4}\)
- **Y-intercept (b)**: \(2\)
To graph the linear equation \(y = -\frac{1}{4}x + 2\):
1. Start at the y-intercept (0, 2) on the graph.
2. From (0, 2), use the slope \(-\frac{1}{4}\) to find another point. This means for every 4 units you move to the right (positive x-direction), you'll move 1 unit down (negative y-direction).
3. From (0, 2), moving 4 units right goes to (4, 2), then moving 1 unit down brings you to (4, 1).
4. Connect the two points (0, 2) and (4, 1) with a straight line.
This will give you a graph of the linear equation \(y = -\frac{1}{4}x + 2\).
From the equation \(y = -\frac{1}{4}x + 2\):
- **Slope (m)**: \(-\frac{1}{4}\)
- **Y-intercept (b)**: \(2\)
To graph the linear equation \(y = -\frac{1}{4}x + 2\):
1. Start at the y-intercept (0, 2) on the graph.
2. From (0, 2), use the slope \(-\frac{1}{4}\) to find another point. This means for every 4 units you move to the right (positive x-direction), you'll move 1 unit down (negative y-direction).
3. From (0, 2), moving 4 units right goes to (4, 2), then moving 1 unit down brings you to (4, 1).
4. Connect the two points (0, 2) and (4, 1) with a straight line.
This will give you a graph of the linear equation \(y = -\frac{1}{4}x + 2\).