Question

plot the points on a rectangular coordinate system.
(a) (2, 8)
(b) (-4, 7)
(c) (-7, 3)
(d) (5, -8)
(e) (0, -6)
(f) (-7, -6)
(g) (8, -1)
(h) (0, 4)
part 1 of 8
(a) (2, 8)

Explanation:

Step1: Understand coordinate system

In a rectangular coordinate system, a point is represented as $(x,y)$. The $x$ - value is the horizontal displacement from the origin and the $y$ - value is the vertical displacement from the origin.

Step2: Plot point (a) $(2,8)$

Start at the origin $(0,0)$. Move 2 units to the right along the $x$ - axis (since $x = 2$) and then 8 units up along the $y$ - axis (since $y = 8$) and mark the point.

Step3: Plot point (b) $(-4,7)$

Start at the origin. Move 4 units to the left along the $x$ - axis (because $x=-4$) and then 7 units up along the $y$ - axis (because $y = 7$) and mark the point.

Step4: Plot point (c) $(-7,3)$

Start at the origin. Move 7 units to the left along the $x$ - axis (since $x=-7$) and 3 units up along the $y$ - axis (since $y = 3$) and mark the point.

Step5: Plot point (d) $(5,-8)$

Start at the origin. Move 5 units to the right along the $x$ - axis (because $x = 5$) and 8 units down along the $y$ - axis (because $y=-8$) and mark the point.

Step6: Plot point (e) $(0,-6)$

Since $x = 0$, we do not move horizontally. Move 6 units down along the $y$ - axis (because $y=-6$) and mark the point.

Step7: Plot point (f) $(-7,-6)$

Start at the origin. Move 7 units to the left along the $x$ - axis (since $x=-7$) and 6 units down along the $y$ - axis (since $y=-6$) and mark the point.

Step8: Plot point (g) $(8,-1)$

Start at the origin. Move 8 units to the right along the $x$ - axis (because $x = 8$) and 1 unit down along the $y$ - axis (because $y=-1$) and mark the point.

Step9: Plot point (h) $(0,4)$

Since $x = 0$, we do not move horizontally. Move 4 units up along the $y$ - axis (because $y = 4$) and mark the point.

The points are plotted on the rectangular - coordinate system as described above. Each point $(x,y)$ is located according to the values of $x$ and $y$ with respect to the origin $(0,0)$.

Answer:

Step1: Understand coordinate system

In a rectangular coordinate system, a point is represented as $(x,y)$. The $x$ - value is the horizontal displacement from the origin and the $y$ - value is the vertical displacement from the origin.

Step2: Plot point (a) $(2,8)$

Start at the origin $(0,0)$. Move 2 units to the right along the $x$ - axis (since $x = 2$) and then 8 units up along the $y$ - axis (since $y = 8$) and mark the point.

Step3: Plot point (b) $(-4,7)$

Start at the origin. Move 4 units to the left along the $x$ - axis (because $x=-4$) and then 7 units up along the $y$ - axis (because $y = 7$) and mark the point.

Step4: Plot point (c) $(-7,3)$

Start at the origin. Move 7 units to the left along the $x$ - axis (since $x=-7$) and 3 units up along the $y$ - axis (since $y = 3$) and mark the point.

Step5: Plot point (d) $(5,-8)$

Start at the origin. Move 5 units to the right along the $x$ - axis (because $x = 5$) and 8 units down along the $y$ - axis (because $y=-8$) and mark the point.

Step6: Plot point (e) $(0,-6)$

Since $x = 0$, we do not move horizontally. Move 6 units down along the $y$ - axis (because $y=-6$) and mark the point.

Step7: Plot point (f) $(-7,-6)$

Start at the origin. Move 7 units to the left along the $x$ - axis (since $x=-7$) and 6 units down along the $y$ - axis (since $y=-6$) and mark the point.

Step8: Plot point (g) $(8,-1)$

Start at the origin. Move 8 units to the right along the $x$ - axis (because $x = 8$) and 1 unit down along the $y$ - axis (because $y=-1$) and mark the point.

Step9: Plot point (h) $(0,4)$

Since $x = 0$, we do not move horizontally. Move 4 units up along the $y$ - axis (because $y = 4$) and mark the point.

The points are plotted on the rectangular - coordinate system as described above. Each point $(x,y)$ is located according to the values of $x$ and $y$ with respect to the origin $(0,0)$.