To write the equation of a line in slope-intercept form (\(y = mx + b\)), you need to identify two key components: the slope (\(m\)) and the y-intercept (\(b\)).
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Identify the slope (m): The slope is the rise over run, or the change in y divided by the change in x between two points on the line. For example, if the line goes up 2 units for every 1 unit it goes to the right, the slope (m) would be 2.
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Identify the y-intercept (b): The y-intercept is the point where the line crosses the y-axis. This occurs when x = 0. Look for the point on the graph where x is 0, and note the corresponding value of y.
Once you have both the slope and the y-intercept, you can plug those values into the slope-intercept formula.
For instance, if your slope is 2 and your y-intercept is -3, the equation would be:
\(y = 2x - 3\)
If you provide the specific points or details of the line on the graph, I can help you calculate the slope and y-intercept accordingly!
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