Final answer:
The slope of the line passing through the points (14, -7) and (4, 2) is found using the slope formula m = (y2 - y1) / (x2 - x1), which results in a negative value of -0.9. Hence, the correct answer is B) Negative, indicating a downward sloping line.
Step-by-step explanation:
To find the slope of the line passing through the points (14, -7) and (4, 2), one would use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the values into the slope formula, we get:
m = (2 - (-7)) / (4 - 14) = 9 / (-10) = -0.9
Because the slope value is negative, this means that for each unit the x-coordinate increases, the y-coordinate decreases by 0.9 units. Therefore, the slope of the line is negative.
Answer choices:
- A) Positive
- B) Negative
- C) Zero
- D) Undefined
To describe the slope, it is negative, indicating that the line slopes downwards from left to right.