Question
identify the slope (m) and y intercept (b) by typing them in the boxes below, then graph the linear equation
y=5/4x -1
y=5/4x -1
Answers
GPT-4o mini
To identify the slope (m) and the y-intercept (b) of the equation \( y = \frac{5}{4}x - 1 \):
- **Slope (m)**: \( \frac{5}{4} \)
- **Y-Intercept (b)**: \( -1 \)
Now, let's graph the linear equation \( y = \frac{5}{4}x - 1 \).
1. Start by plotting the y-intercept (0, -1) on the y-axis.
2. From the y-intercept, use the slope (rise/run) to find another point. The slope of \( \frac{5}{4} \) means you rise 5 units and run 4 units to the right.
- Starting from (0, -1), move up 5 units to (0, 4) and then move right 4 units to (4, 4).
3. This gives you another point at (4, 4).
4. Draw a line connecting these two points.
The graph of the equation will be a straight line that increases as you move from left to right.
If you have graphing software or graph paper, you can use these two points to create the graph.
- **Slope (m)**: \( \frac{5}{4} \)
- **Y-Intercept (b)**: \( -1 \)
Now, let's graph the linear equation \( y = \frac{5}{4}x - 1 \).
1. Start by plotting the y-intercept (0, -1) on the y-axis.
2. From the y-intercept, use the slope (rise/run) to find another point. The slope of \( \frac{5}{4} \) means you rise 5 units and run 4 units to the right.
- Starting from (0, -1), move up 5 units to (0, 4) and then move right 4 units to (4, 4).
3. This gives you another point at (4, 4).
4. Draw a line connecting these two points.
The graph of the equation will be a straight line that increases as you move from left to right.
If you have graphing software or graph paper, you can use these two points to create the graph.