In which quadrant or on which axis do each of the points (–2, 4), (3, –1), (–1, 0), (1, 2) and (–3, –5) lie? Verify your answer by locating them on the Cartesian plane.
Solution 1:
To determine the quadrant or axis of the points (–2, 4), (3, –1), (–1, 0), (1, 2) and (3, –5).
Plot the plot the points (–2, 4), (3, –1), (–1, 0), (1, 2) and (–3, –5) on the graph, to get
From the figure above, we can conclude that the points
- Point (–2, 4) lie in IInd quadrant.
- Point (3, –1) lie in IVth quadrant.
- Point (–1, 0) lie on the negative x-axis.
- Point (1, 2) lie in Ist quadrant.
- Point (–3, –5) lie in IIIrd quadrant.
Question 2:
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
Draw X'OX and Y'OY as the coordinate axes and mark their point of intersection O as the Origin (0, 0)
In order to plot the table provided above,
•Point A(–2, 8)
oTake 2 units on OX' and then 8 units parallel to OY
•Point B (–1, 7)
o Take -1 unit on OX' and then 7 units parallel to OY
• Point C(0, –1.25),
o Take 1.25 units below x-axis on OY' on the y-axis
• Point D(1, 3)
o Take 1 unit on OX and then 3 units parallel to OY
• Point E(3, –1),
o Take 3 units on OX and then move 1 unit parallel to OY'
