Question

what is the slope of the linear function described in this table?

slope formula
(m = \frac{y_2 - y_1}{x_2 - x_1})

\\(\

$$\begin{array}{|c|c|c|c|c|}\\hline \\text{input } (x) & 0 & 1 & 2 & 3 \\\\ \\hline \\text{output } (y) & 1 & 3 & 5 & 7 \\\\ \\hline \\end{array}$$

\\)

• (m = -1/2)
• (m = 2)
• (m = 1)
• (m = 1/2)

Explanation:

Select two points from the table

$$ (x_1, y_1) = (0, 1),\quad (x_2, y_2) = (1, 3) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 1}{1 - 0} = \frac{2}{1} = 2 $$

Answer:

• \(m = -1/2\)
• \(m = 2\) (Correct answer)
• \(m = 1\)
• \(m = 1/2\)