Question

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what is the slope of the line?

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, -1)\) (the y - intercept) and \((2, -5)\) (we can also use other points, but these are easy to identify). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line. Let \((x_1,y_1)=(0, - 1)\) and \((x_2,y_2)=(2, - 5)\).

Step2: Apply the slope formula

Substitute the values into the slope formula: \(m=\frac{-5-(-1)}{2 - 0}=\frac{-5 + 1}{2}=\frac{-4}{2}=- 2\). We can also use another pair of points, for example, \((-1,1)\) and \((0,-1)\). Then \(m=\frac{-1 - 1}{0-(-1)}=\frac{-2}{1}=-2\).

Answer:

\(-2\)