Question

1. a line crosses through the points (0, 2) and (-10, -16). what is the slope of the line?

a. \\(\frac{5}{9}\\)

b. \\(-\frac{9}{5}\\)

c. \\(\frac{9}{5}\\)

d. \\(\frac{1}{3}\\)

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the points

Here, \((x_1, y_1)=(0, 2)\) and \((x_2, y_2)=(- 10,-16)\).

Step3: Substitute into the slope formula

Substitute the values into the formula: \( m=\frac{-16 - 2}{-10 - 0}=\frac{-18}{-10}=\frac{9}{5} \).

Answer:

C. \(\frac{9}{5}\)