Question

3.2 slope of a line (homework)
score: 4/19 answered: 4/19
question 5
find the slope of the line shown:
graph of a line on a coordinate grid
the slope is ( m = ) blank. if the slope is undefined, enter dne.
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Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((0, -1)\) and \((1, 1)\) (we can also choose other points, but these are easy to identify).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, - 1)\) and \((x_2,y_2)=(1,1)\). Then \(m=\frac{1-(-1)}{1 - 0}=\frac{1 + 1}{1}=\frac{2}{1}=2\). We can also check with another pair of points, say \((-1,-3)\) and \((0,-1)\). Then \(m=\frac{-1-(-3)}{0-(-1)}=\frac{-1 + 3}{1}=\frac{2}{1}=2\).

Answer:

\(2\)