To find the solution to the system of equations, we need to find the equations of the lines passing through each pair of points.
1. For the line passing through (-1, -3) and (1, -3):
The slope of this line is: m = (-3 - (-3)) / (1 - (-1)) = 0
Since the line is horizontal, its equation is y = -3
2. For the line passing through (1, -3) and (1, 3):
This is a vertical line passing through x = 1.
3. For the line passing through (1, 3) and (3, 1):
The slope of this line is: m = (1 - 3) / (3 - 1) = -1
Using point-slope form:
y - 3 = -1(x - 1)
y - 3 = -x + 1
y = -x + 4
4. For the line passing through (3, 1) and (3, -1):
This is a vertical line passing through x = 3.
Therefore, the solution to this system of equations is x = 1, y = -3.
Find the solution to the system of equations graphed here
(-1,-3)
(1,-3)
(1,3)
(3,1)
(3,-1)
1 answer