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

Explanation:

Step1: Recall quadrant rules

In a Cartesian - coordinate system, in Quadrant I, \(x>0\) and \(y > 0\); in Quadrant II, \(x<0\) and \(y>0\); in Quadrant III, \(x < 0\) and \(y<0\); in Quadrant IV, \(x>0\) and \(y<0\). Points on the \(x\) - axis have \(y = 0\) and points on the \(y\) - axis have \(x = 0\).

Step2: Analyze point A

For point \(A=(-7,1)\), \(x=-7<0\) and \(y = 1>0\). So, point \(A\) lies in Quadrant II.

Step3: Analyze point B

For point \(B=(5, - 1)\), \(x = 5>0\) and \(y=-1<0\). So, point \(B\) lies in Quadrant IV.

Answer:

For point A: D. Quadrant II
For point B: B. Quadrant IV