Question
Find the slope and the equation for this graph of a proportional relationship.
image.png The slope of the line in the graph is
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.
The equation of the line is
Question Blank 2 of 2
choose your answer...
image.png The slope of the line in the graph is
Question Blank 1 of 2
choose your answer...
.
The equation of the line is
Question Blank 2 of 2
choose your answer...
Answers
Answered by
GPT-4o mini
To find the slope and the equation of a proportional relationship from a graph, we typically follow these steps:
1. **Finding the Slope:** The slope (m) can be computed as the change in the y-values divided by the change in the x-values between two points on the line. If you have coordinates of two distinct points from the graph, use the formula:
\[
m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]
2. **Writing the Equation of the Line:** In a proportional relationship, the equation of the line can be expressed in the form:
\[
y = mx
\]
where m is the slope you found previously.
If you can provide the specific graph details or the coordinates of points from the graph, I could help you calculate the exact slope and write the equation for that line.
1. **Finding the Slope:** The slope (m) can be computed as the change in the y-values divided by the change in the x-values between two points on the line. If you have coordinates of two distinct points from the graph, use the formula:
\[
m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]
2. **Writing the Equation of the Line:** In a proportional relationship, the equation of the line can be expressed in the form:
\[
y = mx
\]
where m is the slope you found previously.
If you can provide the specific graph details or the coordinates of points from the graph, I could help you calculate the exact slope and write the equation for that line.