Question

a line on a graph passes through the points (5, 1) and (20, 4).

what is the slope of the line?

a.) -5

b.) \\(\frac{1}{5}\\)

c.) 5

d.) -\\(\frac{1}{5}\\)

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (5, 1),\quad (x_2, y_2) = (20, 4) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{20 - 5} $$

Simplify the fraction

$$ m = \frac{3}{15} = \frac{1}{5} $$

Answer:

• a.) -5
• b.) \(\frac{1}{5}\) (Correct answer)
• c.) 5
• d.) -\(\frac{1}{5}\)