Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer. submit work it out not feeling ready yet? these can help: find the slope from two points slope - intercept form: find the slope and y - in... find the slope of a graph slopes of parallel and perpendicular lines

Explanation:

Step1: Identify two points on the line

We can see that the line passes through \((0, -1)\) and \((1, 0)\) (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 \((x_2,y_2)=(1, 0)\). Then \(m=\frac{0 - (-1)}{1 - 0}=\frac{0 + 1}{1}=\frac{1}{1} = 1\). Wait, let's check another pair of points to be sure. Let's take \((0, -1)\) and \((2, 1)\). Then \(m=\frac{1 - (-1)}{2 - 0}=\frac{2}{2}=1\). Or \((-2, -3)\) and \((0, -1)\): \(m=\frac{-1 - (-3)}{0 - (-2)}=\frac{2}{2}=1\). So the slope is consistent.

Answer:

\(1\)