Question

use the following image to answer the question.
question 42
what is the slope of this line?
select one
5
-4
3
4

Explanation:

Step1: Recall slope formula

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify two points on the line

From the graph, the line passes through \((0,0)\) and \((1,5)\) (or other clear points, but these are easy to see).

Step3: Calculate the slope

Using the formula with \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(1,5)\), we get \( m=\frac{5 - 0}{1 - 0}=\frac{5}{1}=5 \).

Answer:

5 (corresponding to the option "5")