Graph a line with a slope of $0$ that passes through the point $(3,-2)$.

• A.
• B.
• C.
• D.

Answer: (D)

Verified step by step guidance

1. Step 1: Understand the slope of the line. A slope of 0 means the line is horizontal, so it does not rise or fall as it moves along the x-axis.
2. Step 2: Identify the point through which the line passes, which is given as (3, -2). This means the line must cross the y-axis at y = -2 when x = 3.
3. Step 3: Since the slope is 0, the y-value remains constant for all x-values. Therefore, the equation of the line is y = -2.
4. Step 4: To graph the line, draw a horizontal line passing through the point (3, -2) extending left and right across the graph.
5. Step 5: Verify the graph by checking that every point on the line has a y-coordinate of -2, confirming the slope is zero and the line passes through the given point.