Final answer:
To find the quadrant for each point, the signs of the x and y coordinates are considered. Points a and e, having a negative x and positive y, are in the second quadrant. Points b and c, with both coordinates negative, are in the third quadrant, while point d, with a positive x and negative y, is in the fourth quadrant.
Step-by-step explanation:
To determine the quadrant where each point lies, we should consider the signs of the x and y coordinates. The sign of x determines if the point is on the left (negative) or right (positive) of the y-axis, while the sign of y determines if the point is below (negative) or above (positive) the x-axis.
- a. (-3,2): Both x and y are coordinates, but x is negative and y is positive, placing it in the second quadrant.
- b. (-4,-8): Both x and y are negative, placing this point in the third quadrant.
- c. (-(3)/(5),-(2)/(3)): Both coordinates are negative, so this point is also in the third quadrant.
- d. ((4)/(7),-(2)/(5)): Here, x is positive and y is negative, which puts the point in the fourth quadrant.
- e. (-0.1,0.2): With a negative x and a positive y, this point is in the second quadrant.