graph the line with the equation y=2x -2.
To graph the line with the equation y = 2x - 2, we can start by plotting a few points and then draw a straight line through them.
Let's choose some x-values and find their corresponding y-values using the equation:
- When x = 0, y = 2(0) - 2 = -2; this gives us the point (0, -2).
- When x = 1, y = 2(1) - 2 = 0; this gives us the point (1, 0).
- When x = -1, y = 2(-1) - 2 = -4; this gives us the point (-1, -4).
Plotting these points on a coordinate plane and connecting them with a line, we get:
```
|
|
|
|
-----+-----+-----+-----+-----+-----+-----+---
-4 -3 -2 -1 0 1 2
```
The line passes through the points (0, -2), (1, 0), and (-1, -4), and extends infinitely in both directions.