Question

question 17

a line on a graph passes through the points (15, 10) and (60, 20).

what is the slope of the line?

• \\(-\frac{2}{9}\\)
• \\(4\frac{1}{2}\\)
• \\(\frac{2}{9}\\)
• \\(-4\frac{1}{2}\\)

Explanation:

Identify the coordinates of the given points

Using the Slope Formula knowledge point

$$ (x_1, y_1) = (15, 10),\quad (x_2, y_2) = (60, 20) $$

Calculate the slope using the formula

Using the Slope Formula knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 10}{60 - 15} = \frac{10}{45} = \frac{2}{9} $$

Answer:

• (A) \(-\frac{2}{9}\)
• (B) \(4\frac{1}{2}\)
• (C) \(\frac{2}{9}\) (Correct answer)
• (D) \(-4\frac{1}{2}\)