Question

the slope of a line passing through (2, 6) and (5, 12) is:
a. 2
b. 3
c. \\(\frac{1}{2}\\)
d. 1

the slope of a line passing through (0, 0) and (4, 4) is:
a. 0
b. 4
c. 1
d. 2

Explanation:

First Question:

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 points

Here, \((x_1, y_1) = (2, 6)\) and \((x_2, y_2) = (5, 12)\).

Step3: Substitute into formula

\( m = \frac{12 - 6}{5 - 2} = \frac{6}{3} = 2 \).

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 points

Here, \((x_1, y_1) = (0, 0)\) and \((x_2, y_2) = (4, 4)\).

Step3: Substitute into formula

\( m = \frac{4 - 0}{4 - 0} = \frac{4}{4} = 1 \).

Answer:

a. 2

Second Question: