Question

question 9 (4 points)

a quadrilateral is drawn on the coordinate plane with the following coordinates: a(0, 0), b(6, 8), c(2, 11), and d(-4, 3).

match the correct slope with each side.

da
bc
cd
ab

1. 4/3
2. -3/4
3. 3/4
4. -4/3

Explanation:

Calculate the slope of side DA

$$ m_{DA} = \frac{y_A - y_D}{x_A - x_D} = \frac{0 - 3}{0 - (-4)} = -\frac{3}{4} $$

Calculate the slope of side BC

$$ m_{BC} = \frac{y_C - y_B}{x_C - x_B} = \frac{11 - 8}{2 - 6} = \frac{3}{-4} = -\frac{3}{4} $$

Calculate the slope of side CD

$$ m_{CD} = \frac{y_D - y_C}{x_D - x_C} = \frac{3 - 11}{-4 - 2} = \frac{-8}{-6} = \frac{4}{3} $$

Calculate the slope of side AB

$$ m_{AB} = \frac{y_B - y_A}{x_B - x_A} = \frac{8 - 0}{6 - 0} = \frac{8}{6} = \frac{4}{3} $$

Answer:

• DA: 2. -3/4
• BC: 2. -3/4
• CD: 1. 4/3
• AB: 1. 4/3