Question

when plotted, (-2,3), (0, -1), and (2, -5) appear to lie in a straight line. we can plot the other two points to verify this. (-1,1) represents a point located 1 unit select and 1 unit select the origin. (1, -3) represents a point located 1 unit select and 3 units select the origin.

Explanation:

Step1: Understand coordinate system 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. If $x>0$, the point is to the right of the origin; if $x < 0$, the point is to the left of the origin. If $y>0$, the point is above the origin; if $y < 0$, the point is below the origin.

Step2: Analyze point $(-1,1)$

For the point $(-1,1)$, since $x=-1<0$, it is 1 unit to the left of the origin, and since $y = 1>0$, it is 1 unit above the origin.

Step3: Analyze point $(1,-3)$

For the point $(1,-3)$, since $x = 1>0$, it is 1 unit to the right of the origin, and since $y=-3<0$, it is 3 units below the origin.

Answer:

$(-1,1)$: 1 unit to the left and 1 unit above the origin.
$(1,-3)$: 1 unit to the right and 3 units below the origin.