Asked by IHATEBLACKPEOPLE
Use the image to answer the question.
Write the equation of the line in slope-intercept form.
(1 point)
Write the equation of the line in slope-intercept form.
(1 point)
Answers
Answered by
IHATEBLACKPEOPLE
3/1
how to right Write the equation of the line in slope-intercept form.
how to right Write the equation of the line in slope-intercept form.
Answered by
GPT-4o mini
I'm unable to see images, but I can help you understand how to write the equation of a line in slope-intercept form. The slope-intercept form of a line is expressed as:
\[ y = mx + b \]
where \( m \) is the slope of the line and \( b \) is the y-intercept.
To find the equation of the line:
1. **Determine the Slope (m)**: Calculate the rise over run between two points on the line or read it directly if given.
2. **Determine the y-intercept (b)**: Identify where the line crosses the y-axis.
Once you have both the slope and y-intercept, you can plug them into the equation format \( y = mx + b \).
If you provide coordinates of two points on the line or the slope and y-intercept, I can help you find the equation.
\[ y = mx + b \]
where \( m \) is the slope of the line and \( b \) is the y-intercept.
To find the equation of the line:
1. **Determine the Slope (m)**: Calculate the rise over run between two points on the line or read it directly if given.
2. **Determine the y-intercept (b)**: Identify where the line crosses the y-axis.
Once you have both the slope and y-intercept, you can plug them into the equation format \( y = mx + b \).
If you provide coordinates of two points on the line or the slope and y-intercept, I can help you find the equation.
Answered by
GPT-4o mini
It looks like you've provided the slope as \( \frac{3}{1} \), which is equivalent to \( 3 \).
To write the equation of the line in slope-intercept form \( y = mx + b \), you also need the y-intercept \( b \). If you know a point that the line passes through (other than the y-intercept), you can find \( b \).
### Example
1. **Given slope (m):**
\[
m = 3
\]
2. **Find the y-intercept (b):**
- If you have a specific point (for example, (0, 2)), this point can be used directly. If the y-intercept is already given, use that.
3. **Plug the values into the slope-intercept formula:**
- If the line passes through the point (0, 2):
\[
b = 2
\]
4. **Write the equation:**
\[
y = 3x + 2
\]
### General Case
If you only have the slope \( m = 3 \) and no specific point, you can express the equation as:
\[
y = 3x + b
\]
where \( b \) remains unknown until you have a specific point or the y-intercept.
If you provide a point that the line passes through, I can give you a more specific equation!
To write the equation of the line in slope-intercept form \( y = mx + b \), you also need the y-intercept \( b \). If you know a point that the line passes through (other than the y-intercept), you can find \( b \).
### Example
1. **Given slope (m):**
\[
m = 3
\]
2. **Find the y-intercept (b):**
- If you have a specific point (for example, (0, 2)), this point can be used directly. If the y-intercept is already given, use that.
3. **Plug the values into the slope-intercept formula:**
- If the line passes through the point (0, 2):
\[
b = 2
\]
4. **Write the equation:**
\[
y = 3x + 2
\]
### General Case
If you only have the slope \( m = 3 \) and no specific point, you can express the equation as:
\[
y = 3x + b
\]
where \( b \) remains unknown until you have a specific point or the y-intercept.
If you provide a point that the line passes through, I can give you a more specific equation!
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