Question

1. coordinate planes

write the names of the indicated parts of the coordinate plane on the blanks.
31.
32.
33.

Explanation:

• 31: Looking at the graph, the part labeled 31 is a horizontal line in the fourth quadrant (since x is positive and y is negative) or maybe the "Quadrant IV" or more likely, the "Negative y - positive x region" but more precisely, in coordinate plane parts, the horizontal line or the "Quadrant IV" or the "fourth quadrant" but actually, from the diagram, the part labeled 31 is the horizontal segment in the lower right (positive x, negative y) area, but more accurately, in standard coordinate plane terms, the parts: 31 is likely the "Quadrant IV" (where x > 0, y < 0), 32 is the "Quadrant I" (x > 0, y > 0) segment? Wait, no, the lines: 31 is the horizontal line in the fourth quadrant (y negative, x positive), 32 is the horizontal line in the first quadrant (y positive, x positive), and 33 is the shaded region which is the "Third Quadrant" (x negative, y negative) and "Second Quadrant"? No, the shaded region is left of y - axis (x ≤ 0) and below x - axis (y ≤ 0)? Wait, no, the shaded area is x from - 4 to 0 (negative x) and y from - 5 to 0 (negative y) and also above? Wait, the grid: the shaded region is the left - hand side (x negative) and both positive and negative y? No, looking at the axes: the x - axis is horizontal, y - axis vertical. The part labeled 33 is the shaded area which is the "Second and Third Quadrants" (x ≤ 0) or more precisely, the "Left - hand side of the y - axis" (x - negative and x = 0) region. Wait, let's re - examine:

• 31: The line segment labeled 31 is in the area where x is positive (right of y - axis) and y is negative (below x - axis), so it's in Quadrant IV. But also, it's a horizontal line, maybe the "Quadrant IV" or the "fourth quadrant" or the "region where x > 0 and y < 0".

• 32: The line segment labeled 32 is in the area where x is positive (right of y - axis) and y is positive (above x - axis), so it's in Quadrant I, the "first quadrant" or the "region where x > 0 and y > 0".

• 33: The shaded region is to the left of the y - axis (x ≤ 0) and includes both positive and negative y? Wait, the shaded area is from x = - 4 to x = 0 (x negative or zero) and y from - 5 to 5? No, the shaded area is the left - hand side (x ≤ 0) of the coordinate plane, including the second quadrant (x < 0, y > 0), third quadrant (x < 0, y < 0), and the y - axis (x = 0). So it's the "Left - hand side of the y - axis" or the "region where x ≤ 0" (including the y - axis and the second and third quadrants).

But more accurately, in standard coordinate plane part names:

• 31: Quadrant IV (x > 0, y < 0)

• 32: Quadrant I (x > 0, y > 0)

• 33: The region to the left of the y - axis (x ≤ 0), which includes Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), and the y - axis.

But maybe more simple:

• 31: Fourth Quadrant (or Quadrant IV)

• 32: First Quadrant (or Quadrant I)

• 33: Left - hand side of the y - axis (or the region with x ≤ 0)

Answer:

1. Fourth Quadrant (Quadrant IV)
2. First Quadrant (Quadrant I)
3. Left - hand side of the y - axis (or Region with \( x\leq0 \))