Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify two points on the line

We can see that the line passes through \((0, 2)\) and \((1, 4)\) (or other clear points, like \((-1, 0)\) and \((0, 2)\) as well). Let's take \((x_1, y_1) = (0, 2)\) and \((x_2, y_2) = (1, 4)\).

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Substitute the values into the formula: \(m=\frac{4 - 2}{1 - 0}=\frac{2}{1} = 2\). Alternatively, using \((-1, 0)\) and \((0, 2)\): \(m=\frac{2 - 0}{0 - (-1)}=\frac{2}{1}=2\).

Answer:

\(2\)