A system of equations is graphed on the grid.
Which system of equations does the graph represent?
answer choices
A- y=-x-5,y=3x+2
B- y=-x+5 , y=3x-2
C- y=x-5
y=-3x+2
D-y=x+5
y=-3x-2
Without the graph provided, it is difficult to determine which system of equations it represents.
these points are graphed
(0,5) (1,1) (3,2) (-1,-5)
To determine which system of equations represent the given points, we can substitute the x and y values of each point into the equations and see which system satisfies all the points.
Given points:
(0,5): x=0, y=5
(1,1): x=1, y=1
(3,2): x=3, y=2
(-1,-5): x=-1, y=-5
We can start by testing each system of equations with the first point (0,5):
A: y = -x - 5
y = 3x + 2
For y = -x - 5:
5 = -(0) - 5
5 = -5 (incorrect)
For y = 3x + 2:
5 = 3(0) + 2
5 = 2 + 2
5 = 4 (incorrect)
System A does not satisfy point (0,5).
Now, let's test system B with the points:
B: y = -x + 5
y = 3x - 2
For y = -x + 5:
5 = -(0) + 5
5 = 5
For y = 3x - 2:
5 = 3(0) - 2
5 = 0 - 2
5 = -2 (incorrect)
System B does not satisfy point (0,5).
Now, let's test system C with the points:
C: y = x - 5
y = -3x + 2
For y = x - 5:
5 = 0 - 5
5 = -5 (incorrect)
For y = -3x + 2:
5 = -3(0) + 2
5 = 2
System C does not satisfy point (0,5).
Finally, let's test system D with the points:
D: y = x + 5
y = -3x - 2
For y = x + 5:
5 = 0 + 5
5 = 5
For y = -3x - 2:
5 = -3(0) - 2
5 = 0 - 2
5 = -2 (incorrect)
System D does not satisfy point (0,5).
Therefore, none of the given systems of equations (A, B, C, D) represent the points (0,5), (1,1), (3,2), and (-1,-5).
which answer choice is correct choose one
Based on the points provided, the correct choice would be:
B- y=-x+5 , y=3x-2