Question

what is the slope of the line that passes through the points (1,1) and (4,4)? write your answer in simplest form.

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, \( x_1 = 1 \), \( y_1 = 1 \), \( x_2 = 4 \), \( y_2 = 4 \).

Step3: Substitute into formula

\( m=\frac{4 - 1}{4 - 1}=\frac{3}{3}=1 \).

Answer:

1