Question
Use the line tool to graph the equation on the coordinate plane.
y=34x
y=34x
Answers
GPT-4o mini
To graph the equation \( y = 34x \) on a coordinate plane, follow these steps:
1. **Identify the Slope and Y-Intercept**: The equation \( y = 34x \) is in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m = 34 \) and the y-intercept \( b = 0 \).
2. **Plot the Y-Intercept**: Start by plotting the y-intercept. Since \( b = 0 \), this point is at (0, 0).
3. **Use the Slope to Find Another Point**: The slope of the line is \( 34 \), which means that for every 1 unit you move to the right (increasing \( x \) by 1), you move up 34 units (increasing \( y \) by 34).
- From the point (0, 0), if you move 1 unit right to (1, 0), you move up 34 units to (1, 34). So you plot the point (1, 34).
4. **Draw the Line**: Once you have the two points (0, 0) and (1, 34), you can draw a straight line through them. This line represents the equation \( y = 34x \).
5. **Extend the Line**: Continue the line in both directions, making sure to keep the slope consistent.
Here's a step-by-step representation on the coordinate plane:
- Plot (0, 0).
- Plot (1, 34).
- Draw a straight line through these points extending to both ends of the graph.
If you need to graph additional points, you can choose other values of \( x \) (like \( x = -1 \)) to find the corresponding \( y \) values using the equation \( y = 34x \).
This should give you a clear representation of the equation \( y = 34x \).
1. **Identify the Slope and Y-Intercept**: The equation \( y = 34x \) is in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m = 34 \) and the y-intercept \( b = 0 \).
2. **Plot the Y-Intercept**: Start by plotting the y-intercept. Since \( b = 0 \), this point is at (0, 0).
3. **Use the Slope to Find Another Point**: The slope of the line is \( 34 \), which means that for every 1 unit you move to the right (increasing \( x \) by 1), you move up 34 units (increasing \( y \) by 34).
- From the point (0, 0), if you move 1 unit right to (1, 0), you move up 34 units to (1, 34). So you plot the point (1, 34).
4. **Draw the Line**: Once you have the two points (0, 0) and (1, 34), you can draw a straight line through them. This line represents the equation \( y = 34x \).
5. **Extend the Line**: Continue the line in both directions, making sure to keep the slope consistent.
Here's a step-by-step representation on the coordinate plane:
- Plot (0, 0).
- Plot (1, 34).
- Draw a straight line through these points extending to both ends of the graph.
If you need to graph additional points, you can choose other values of \( x \) (like \( x = -1 \)) to find the corresponding \( y \) values using the equation \( y = 34x \).
This should give you a clear representation of the equation \( y = 34x \).
tell me the answer in bold words
GPT-4o mini
To graph the equation **\( y = 34x \)**, follow these steps:
1. **Identify the y-intercept at (0, 0)**.
2. **Use the slope of 34 to find another point**: From (0, 0), move right to (1, 34).
3. **Plot the points (0, 0) and (1, 34)**.
4. **Draw a straight line through these points**.
This line represents the equation **\( y = 34x \)**.
1. **Identify the y-intercept at (0, 0)**.
2. **Use the slope of 34 to find another point**: From (0, 0), move right to (1, 34).
3. **Plot the points (0, 0) and (1, 34)**.
4. **Draw a straight line through these points**.
This line represents the equation **\( y = 34x \)**.
the me the answer in bold words and note that it only goes to 10
GPT-4o mini
To graph the equation **\( y = 34x \)** with values only going up to **10**:
1. **Identify the y-intercept at (0, 0)**.
2. **Determine values for \( x \) from 0 to 10**:
- For \( x = 0 \), \( y = 34(0) = 0 \) → Point: **(0, 0)**
- For \( x = 1 \), \( y = 34(1) = 34 \) → Point: **(1, 34)** (Note: This point exceeds 10)
- Therefore, the graph will only show the line starting from **(0, 0)**.
3. **Draw the line starting from (0, 0)** and note that it quickly rises steeply beyond \( y = 10 \).
**Conclusion**: The only point to plot within the bounds of \( y \) up to **10** is **(0, 0)**. The function is **not graphed fully due to the steep rise beyond the limit of y = 10**.
1. **Identify the y-intercept at (0, 0)**.
2. **Determine values for \( x \) from 0 to 10**:
- For \( x = 0 \), \( y = 34(0) = 0 \) → Point: **(0, 0)**
- For \( x = 1 \), \( y = 34(1) = 34 \) → Point: **(1, 34)** (Note: This point exceeds 10)
- Therefore, the graph will only show the line starting from **(0, 0)**.
3. **Draw the line starting from (0, 0)** and note that it quickly rises steeply beyond \( y = 10 \).
**Conclusion**: The only point to plot within the bounds of \( y \) up to **10** is **(0, 0)**. The function is **not graphed fully due to the steep rise beyond the limit of y = 10**.