Final answer:
To determine the quadrant or axis for each ordered pair on a coordinate plane, analyze the signs of the x and y coordinates. Based on this analysis, (9.5, 0) is on the x-axis, (-4, 7) is in Quadrant II, and (-1, -8) is in Quadrant III.
Step-by-step explanation:
To determine the quadrant or axis where each ordered pair is located on a coordinate plane, we need to understand the signs of the x and y coordinates:
- If the x coordinate is positive and the y coordinate is positive, the point is in Quadrant I.
- If the x coordinate is negative and the y coordinate is positive, the point is in Quadrant II.
- If the x coordinate is negative and the y coordinate is negative, the point is in Quadrant III.
- If the x coordinate is positive and the y coordinate is negative, the point is in Quadrant IV.
- If the x coordinate is zero and the y coordinate is not zero, the point is on the x-axis.
- If the x coordinate is not zero and the y coordinate is zero, the point is on the y-axis.
Using these rules, we can determine the locations of the given ordered pairs:
- (9.5, 0) is on the x-axis because the y coordinate is zero.
- (-4, 7) is in Quadrant II because both the x and y coordinates are negative.
- (-1, -8) is in Quadrant III because the x coordinate is negative and the y coordinate is negative.