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 the point b lie? a. quadrant i c. none, because the point is on the y - axis e. quadrant iii f. none, because the point is on the x - axis b. quadrant iv d. quadrant ii 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 in which quadrant or on what axis does the point d lie? a. none, because the point is on the y - axis c. quadrant iii e. quadrant iv b. quadrant ii d. quadrant i f. none, because the point is on the x - axis

Explanation:

Step1: Recall quadrant rules

In a Cartesian - coordinate system, Quadrant I has positive x and positive y ($x>0,y > 0$), Quadrant II has negative x and positive y ($x<0,y>0$), Quadrant III has negative x and negative y ($x < 0,y<0$), and Quadrant IV has positive x and negative y ($x>0,y<0$). 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 is $x=-7<0$ and the y - coordinate is $y = 1>0$. So, point A lies in Quadrant II.

Step3: Analyze point B (5,-1)

The x - coordinate is $x = 5>0$ and the y - coordinate is $y=-1<0$. So, point B lies in Quadrant IV.

Step4: Analyze point C (6,9)

The x - coordinate is $x = 6>0$ and the y - coordinate is $y = 9>0$. So, point C lies in Quadrant I.

Answer:

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