Answer:
Graph 'B' represents the correct graph.
The correct graph is attached below.
Step-by-step explanation:
Let 'A' be the point:
- [tex]A\left(-1\frac{1}{2},\:\frac{1}{2}\right)[/tex]
Let 'B' be the point:
- [tex]B\:\left(1.5,\:-0.5\right)[/tex]
As point A(-1 1/2, 1/2) can be written as:
[tex]A=\left(-\frac{3}{2},\:\frac{1}{2}\right)=\left(-1.5,\:0.5\right)[/tex]
so plotting the point [tex]A=\left(-1.5,\:0.5\right)\:\:\:\:[/tex] and [tex]B\:\left(1.5,\:-0.5\right)[/tex] on a [tex]B\:\left(1.5,\:-0.5\right)[/tex].
- As we know that the 2nd quadrant, in the upper left-hand corner, consists of negative values of x and positive values of y.
Thus, the point A(-1.5, 0.5) will be plotted in the 2nd quadrant at x = -1.5 and y=0.5
i.e. at x= -1.5, y = 0.5
- As we know that the 4th quadrant, the lower left-hand corner, consists of positive values of x and negative values of y.
Point B(1.5, -0.5) will be plotted in the 4th quadrant at x = 1.5 and y = -0.5
i.e. at x= 1.5, y = -0.5
Thus, graph 'B' represents the correct graph.
The correct graph is attached below.
