Identify the slope.
Understand the Problem
The question is asking to identify the slope of the line presented in the graph. This involves calculating the rise over run between two points on the line.
Answer
The slope is $1$.
Answer for screen readers
The slope of the line is $1$.
Steps to Solve
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Identify two points on the line Locate two distinct points on the line that can be easily read from the graph. For example, we can use the points ( (0, -1) ) and ( (2, 1) ).
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Calculate the rise The rise is the change in the ( y )-coordinates of the two points. Using our points: $$ \text{Rise} = y_2 - y_1 = 1 - (-1) = 1 + 1 = 2 $$
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Calculate the run The run is the change in the ( x )-coordinates of the two points. $$ \text{Run} = x_2 - x_1 = 2 - 0 = 2 $$
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Calculate the slope The slope ( m ) is defined as the rise divided by the run: $$ m = \frac{\text{Rise}}{\text{Run}} = \frac{2}{2} = 1 $$
The slope of the line is $1$.
More Information
The slope of a line indicates how steep the line is and the direction it rises or falls. A slope of (1) means the line rises one unit up for every one unit it moves to the right.
Tips
- A common mistake is misreading the coordinates of the points, which can lead to incorrect calculations of rise and run. Always double-check the points you choose.
- Another mistake is not simplifying the fraction for the slope. Always reduce it to its simplest form.
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