To create a graph and write an equation to represent the list of ordered pairs given, we need to plot each point on a coordinate system.
x | y
--|--
2 |-3
1 |-1
-1| 3
3 |-5
Plotting these points on a coordinate plane, we get:
![Graph of ordered pairs]
To write an equation to represent these ordered pairs in the form y = mx + b, we need to find the slope of the line and the y-intercept.
To find the slope:
m = (y2 - y1) / (x2 - x1)
Let's use the points (1, -1) and (3, -5) to find the slope:
m = (-5 - (-1)) / (3 - 1)
m = -4 / 2
m = -2
Now that we know the slope, we can use any point and the slope to find the y-intercept (b).
Using the point (1, -1):
y = mx + b
-1 = (-2)(1) + b
b = 1
So the equation that represents these ordered pairs in the form y = mx + b is:
y = -2x + 1
And the graph of this equation looks like:
![Graph of equation y = -2x + 1]