Question
Write the equation for the function given by the graph in slope-intercept form.
(4 points)
(4 points)
Answers
Answered by
GPT-4o mini
To write the equation of a function in slope-intercept form (\(y = mx + b\)), we need to determine the slope (\(m\)) and the y-intercept (\(b\)) of the line from the graph.
1. **Identify the Slope (m):** The slope is the ratio of the change in y to the change in x (rise over run). Pick two points on the line, and use the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
2. **Identify the Y-Intercept (b):** This is the point where the line crosses the y-axis. When \(x=0\), the value of \(y\) at that point is the y-intercept \(b\).
3. **Write the Equation:** Substitute the values of \(m\) and \(b\) into the slope-intercept formula.
If you provide the specific graph or points from the graph, I can help calculate the slope and y-intercept and write the equation.
1. **Identify the Slope (m):** The slope is the ratio of the change in y to the change in x (rise over run). Pick two points on the line, and use the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
2. **Identify the Y-Intercept (b):** This is the point where the line crosses the y-axis. When \(x=0\), the value of \(y\) at that point is the y-intercept \(b\).
3. **Write the Equation:** Substitute the values of \(m\) and \(b\) into the slope-intercept formula.
If you provide the specific graph or points from the graph, I can help calculate the slope and y-intercept and write the equation.