Question

line (ell) passes through the points ((2, 2)) and ((4, 10)). what is the slope of line (ell)?
choose 1 answer:
a (-4)
b (\frac{1}{4})
c (4)
d (5)

Explanation:

Step1: Recall slope formula

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

Step2: Identify coordinates

Here, \( (x_1, y_1)=(2, 2) \) and \( (x_2, y_2)=(4, 10) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{10 - 2}{4 - 2}=\frac{8}{2}=4 \).

Answer:

C. 4