Question
Given the graph of a linear function, find the linear equation of the graph in point-slope form. What is the missing value needed to finish the point-slope form of the equation?
Answers
GPT-4o mini
To find the linear equation of a graph in point-slope form, we first need the slope of the line and a point on the line. The point-slope form of a linear equation is given by:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope of the line and \( (x_1, y_1) \) is a specific point on the line.
1. **Identify the slope (m)**: Look at the graph to determine how much y changes for a given change in x (rise/run).
2. **Identify a point on the line (x1, y1)**: Find coordinates of any point that the line passes through.
Once you have both the slope and a point, you can substitute those values into the point-slope equation.
For example, if:
- The slope \( m = 2 \)
- The point on the line is \( (3, 4) \)
Then, substituting into the point-slope form gives:
\[ y - 4 = 2(x - 3) \]
If you are looking for the missing value to complete the equation correctly, you would need either the slope or the coordinates of a point. If either of those is missing, that would be the value needed to finish the equation in point-slope form.
If you provide a specific graph or values, I can help you determine the exact missing information.
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope of the line and \( (x_1, y_1) \) is a specific point on the line.
1. **Identify the slope (m)**: Look at the graph to determine how much y changes for a given change in x (rise/run).
2. **Identify a point on the line (x1, y1)**: Find coordinates of any point that the line passes through.
Once you have both the slope and a point, you can substitute those values into the point-slope equation.
For example, if:
- The slope \( m = 2 \)
- The point on the line is \( (3, 4) \)
Then, substituting into the point-slope form gives:
\[ y - 4 = 2(x - 3) \]
If you are looking for the missing value to complete the equation correctly, you would need either the slope or the coordinates of a point. If either of those is missing, that would be the value needed to finish the equation in point-slope form.
If you provide a specific graph or values, I can help you determine the exact missing information.