Which table of ordered pairs could be used to graph y=4x−5?
One possible table of ordered pairs that could be used to graph y=4x-5 is:
x | y
--|--
0 |-5
1 |-1
2 |3
3 |7
4 |11
Note that for each input value of x, we can use the equation y=4x-5 to calculate the corresponding output value of y. For example, when x=0, y=4(0)-5=-5. Similarly, when x=1, y=4(1)-5=-1, and so on. These pairs of x and y values can then be plotted on a coordinate plane and connected with a line to create the graph of the equation y=4x-5.
To find the table of ordered pairs for the equation y = 4x - 5, we can choose different values of x and substitute them into the equation to find the corresponding values of y. Let's choose some values of x and find the corresponding values of y:
Let's start with x = -2:
y = 4(-2) - 5
y = -8 - 5
y = -13
So, the ordered pair for x = -2 is (-2, -13).
Now, let's find the ordered pair for x = -1:
y = 4(-1) - 5
y = -4 - 5
y = -9
Therefore, the ordered pair for x = -1 is (-1, -9).
Next, let's find the ordered pair for x = 0:
y = 4(0) - 5
y = 0 - 5
y = -5
So, the ordered pair for x = 0 is (0, -5).
Let's find the ordered pair for x = 1:
y = 4(1) - 5
y = 4 - 5
y = -1
Therefore, the ordered pair for x = 1 is (1, -1).
Lastly, let's find the ordered pair for x = 2:
y = 4(2) - 5
y = 8 - 5
y = 3
So, the ordered pair for x = 2 is (2, 3).
Now we have the following table of ordered pairs:
| x | y |
| -2 | -13 |
| -1 | -9 |
| 0 | -5 |
| 1 | -1 |
| 2 | 3 |
These ordered pairs can be used to graph the equation y = 4x - 5.