Question

find the slope of the line that passes through (1, 3) and (5, 8). simplify your answer and write it as a proper fraction, improper fraction, or inte

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through 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 coordinates

Here, \( x_1 = 1 \), \( y_1 = 3 \), \( x_2 = 5 \), and \( y_2 = 8 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{8 - 3}{5 - 1} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( 8 - 3 = 5 \).
Simplify the denominator: \( 5 - 1 = 4 \).
So, \( m=\frac{5}{4} \).

Answer:

\(\frac{5}{4}\)