Question

solving linear equations: slope intercept form
skill: identify 4 types of slope

1. name the type of slope of each graph.

a: graph of horizontal line
b: graph of line with negative slope
c: graph of line with positive slope
d: graph of vertical line

Explanation:

Step1: Analyze Graph A

Graph A is a horizontal line. The slope of a horizontal line is calculated as \( \frac{y_2 - y_1}{x_2 - x_1} \), and since \( y_2 = y_1 \) for all points, the slope is \( 0 \) (zero slope).

Step2: Analyze Graph B

Graph B is a line with a negative slope. As \( x \) increases, \( y \) decreases, so the slope is negative.

Step3: Analyze Graph C

Graph C is a line with a positive slope. As \( x \) increases, \( y \) increases, so the slope is positive.

Step4: Analyze Graph D

Graph D is a vertical line. The slope of a vertical line is undefined because \( x_2 = x_1 \) (denominator in slope formula is \( 0 \)).

Answer:

• A: Zero Slope (Horizontal Line)
• B: Negative Slope
• C: Positive Slope
• D: Undefined Slope (Vertical Line)