graph the inequality on a plane y ≤ 5x-5
To graph the inequality y ≤ 5x-5, we can start by graphing the line y = 5x - 5.
To do this, we need two points on the line. We can choose any two x-values and substitute them into the equation to find the corresponding y-values.
Let's choose x = 0:
y = 5(0) - 5
y = -5
So, one point on the line is (0, -5).
Now, let's choose x = 2:
y = 5(2) - 5
y = 10 - 5
y = 5
So, another point on the line is (2, 5).
Plot these two points on the coordinate plane.
Next, draw a straight line passing through these two points. This line represents the equation y = 5x - 5.
Now, to graph the inequality y ≤ 5x-5, we need to determine which side of the line satisfies the inequality.
Since the inequality is y ≤ (less than or equal to) 5x - 5, we will shade the region below the line.
So, shade the region below the line that passes through the two points (0, -5) and (2, 5).
The graph of the inequality y ≤ 5x-5 will look like this:
```
^
|
| XXXXXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXXXXX
| XXXXXXXXXXXXXX
| XXXXXXXX
|XX
+------------------------------------>
```
The shaded region is below the line.