Question

what is the slope of this line? (1, 3) (5, 3)

Explanation:

Step1: Recall the slope formula

The slope \( m \) between 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

We have two points: \( (x_1, y_1)=(1, 3) \) and \( (x_2, y_2)=(5, 3) \).

Step3: Substitute into the formula

Substitute \( y_2 = 3 \), \( y_1 = 3 \), \( x_2 = 5 \), and \( x_1 = 1 \) into the slope formula: \( m=\frac{3 - 3}{5 - 1} \).

Step4: Simplify the expression

Simplify the numerator and the denominator: \( 3 - 3 = 0 \) and \( 5 - 1 = 4 \), so \( m=\frac{0}{4}=0 \).

Answer:

The slope of the line is \( 0 \).