Graph each equation by making a table. Y = 4
Start making a table of points. For y=4, for any value of x, y = 4
x y
-4 4
-3 4
-2 4
-1 4
0 4
1 4
2 4
3 4
The graph will be a horizontal line through (0, 4)
To graph the equation y = 4, we can create a table of values to plot the points.
We need to assign different x-values and solve for y at each point.
Let's choose some x-values:
x = -2, -1, 0, 1, 2
Now let's substitute these values into the equation and solve for y:
For x = -2:
y = 4 (since y is always 4)
For x = -1:
y = 4
For x = 0:
y = 4
For x = 1:
y = 4
For x = 2:
y = 4
Now we have our table of values:
| x | y |
|----|----|
| -2 | 4 |
| -1 | 4 |
| 0 | 4 |
| 1 | 4 |
| 2 | 4 |
To graph these points, we plot them on a coordinate plane:
On the y-axis, mark a point at y = 4 for each x-value we chose: (-2, 4), (-1, 4), (0, 4), (1, 4), (2, 4).
Now we can connect the dots to draw a straight line passing through all the points.
The final graph of the equation y = 4 is a horizontal line parallel to the x-axis, passing through the y-coordinate 4.
To graph the equation Y = 4, you can create a table of values by substituting different values for X and finding the corresponding values for Y. Since the equation only contains the constant value 4, regardless of the input value, the output value will always be 4. Here's a table to help you visualize the graph:
X | Y
---------
0 | 4
1 | 4
2 | 4
3 | 4
4 | 4
As you can see, no matter what value you choose for X, the corresponding value for Y will always be 4. This indicates a horizontal line parallel to the X-axis passing through the point (0, 4).
To graph it, plot this single point and draw a horizontal line that passes through it. The line will intersect the Y-axis at the point (0, 4) and extend infinitely in both directions.
The graph of the equation Y = 4 is a horizontal line parallel to the X-axis at the Y-coordinate of 4.