To write the equation of a line in slope-intercept form, you need to identify two key components: the slope (m) and the y-intercept (b). The slope-intercept form is expressed as:
\[ y = mx + b \]
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Identify the Slope (m):
- The slope is calculated as the "rise over run." To find the slope between two points on the line, use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
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Identify the Y-Intercept (b):
- The y-intercept is the point where the line crosses the y-axis (where \(x = 0\)). Read the value of \(y\) at this point from the graph.
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Write the Equation:
- Once you have both the slope and the y-intercept, substitute \(m\) and \(b\) into the slope-intercept form to get the equation.
Since I don't have access to the graph you are referring to, you would need to determine the slope and y-intercept based on the specific line shown on your graph. If you provide the coordinates of at least two points on the line, I could help you calculate the slope and write the equation.