Question

tell in which quadrant or on what coordinate axis each point lies. a = (-7,1) b = (5, - 1) c = (6,9) in which quadrant or on what axis does point a lie? a. none, because the point is on the y - axis c. quadrant i e. none, because the point is on the x - axis b. quadrant iii d. quadrant ii f. quadrant iv in which quadrant or on what axis does the point b lie? a. quadrant i c. none, because the point is on the y - axis e. quadrant iii b. quadrant iv d. quadrant ii f. none, because the point is on the x - axis in which quadrant or on what axis does the point c lie? a. none, because the point is on the y - axis c. quadrant iv e. none, because the point is on the x - axis b. quadrant ii d. quadrant iii f. quadrant i

Explanation:

Step1: Recall quadrant rules

In a Cartesian - coordinate system, in Quadrant I, both x and y are positive; in Quadrant II, x is negative and y is positive; in Quadrant III, both x and y are negative; in Quadrant IV, x is positive and y is negative. Points on the x - axis have y = 0 and points on the y - axis have x = 0.

Step2: Analyze point A (-7,1)

The x - coordinate of point A is x=-7 (negative) and the y - coordinate is y = 1 (positive). So, point A lies in Quadrant II.

Step3: Analyze point B (5,-1)

The x - coordinate of point B is x = 5 (positive) and the y - coordinate is y=-1 (negative). So, point B lies in Quadrant IV.

Step4: Analyze point C (6,9)

The x - coordinate of point C is x = 6 (positive) and the y - coordinate is y = 9 (positive). So, point C lies in Quadrant I.

Answer:

For point A: D. Quadrant II
For point B: B. Quadrant IV
For point C: F. Quadrant I