Question

plot the following six points: (-3,3) (4,5) (-2,-5) (3,0) (1,-1) (0,1)

Explanation:

Step1: Recall coordinate - plotting rules

In a two - dimensional Cartesian coordinate system, for a point $(x,y)$, $x$ represents the horizontal displacement from the origin and $y$ represents the vertical displacement from the origin.

Step2: Plot $(-3,3)$

Move 3 units to the left along the x - axis (since $x=-3$) and 3 units up along the y - axis (since $y = 3$) and place a dot.

Step3: Plot $(4,5)$

Move 4 units to the right along the x - axis (since $x = 4$) and 5 units up along the y - axis (since $y=5$) and place a dot.

Step4: Plot $(-2,-5)$

Move 2 units to the left along the x - axis (since $x=-2$) and 5 units down along the y - axis (since $y = - 5$) and place a dot.

Step5: Plot $(3,0)$

Move 3 units to the right along the x - axis (since $x = 3$) and since $y = 0$, stay on the x - axis and place a dot.

Step6: Plot $(1,-1)$

Move 1 unit to the right along the x - axis (since $x = 1$) and 1 unit down along the y - axis (since $y=-1$) and place a dot.

Step7: Plot $(0,1)$

Since $x = 0$, stay on the y - axis and move 1 unit up (since $y = 1$) and place a dot.

The points are already plotted in the provided image as per the above - described steps.

Answer:

Step1: Recall coordinate - plotting rules

In a two - dimensional Cartesian coordinate system, for a point $(x,y)$, $x$ represents the horizontal displacement from the origin and $y$ represents the vertical displacement from the origin.

Step2: Plot $(-3,3)$

Move 3 units to the left along the x - axis (since $x=-3$) and 3 units up along the y - axis (since $y = 3$) and place a dot.

Step3: Plot $(4,5)$

Move 4 units to the right along the x - axis (since $x = 4$) and 5 units up along the y - axis (since $y=5$) and place a dot.

Step4: Plot $(-2,-5)$

Move 2 units to the left along the x - axis (since $x=-2$) and 5 units down along the y - axis (since $y = - 5$) and place a dot.

Step5: Plot $(3,0)$

Move 3 units to the right along the x - axis (since $x = 3$) and since $y = 0$, stay on the x - axis and place a dot.

Step6: Plot $(1,-1)$

Move 1 unit to the right along the x - axis (since $x = 1$) and 1 unit down along the y - axis (since $y=-1$) and place a dot.

Step7: Plot $(0,1)$

Since $x = 0$, stay on the y - axis and move 1 unit up (since $y = 1$) and place a dot.

The points are already plotted in the provided image as per the above - described steps.