What is the slope of the line through points (0, 4) and (3, -2)?

• A. 2
• B. -2
• C. -3
• D. 0

Answer: (B)

Slope tells you how steep a line is by comparing how much y changes when x changes. To find it between two points, use m = (y2 − y1) / (x2 − x1).

From (0, 4) to (3, −2), the vertical change is −2 − 4 = −6 and the horizontal change is 3 − 0 = 3. So the slope is (−6) / 3 = −2.

This means for every 1 unit you move to the right, the line drops 2 units. The negative sign shows the line goes downward as you go right. Among the options, −2 is the one that matches this rate of change.