Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = 
Distance between A(0, -3) and C(2, 8),
AC = 
= 
= 
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = 
=
=
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
When you first look at thius graph, you should notice two things immedietly.
1. This graph will have a positive slope, because the line is going up.
2. the y-intercept is -2 because that's where it is on the y-axis.
Now, you have been given two points, (2, 1) and (0, -2). You can put these two points into the slope formula, which is: m =
=
= 3/2.
So, now you have your slope and your y-intercept. Now, just put them into y = mx + b form!
y = 3/2x - 2 (it is ubtracting two instead of adding two because it is a negative two.)
Hope this helps!!
~Kiwi
