Question

Graph the linear equation y=−3x+2 .

Answer 1

To graph the linear equation y = -3x + 2, we need to identify the y-intercept and the slope.

The y-intercept is the point where the line intersects the y-axis, and in this equation it is 2. This means that the line crosses the y-axis at the point (0, 2).

The slope of the line is -3, which means that for every 1 unit increase in x, y will decrease by 3 units.

To graph the equation, we plot the y-intercept at (0, 2) and then use the slope to find other points on the line. We can move 1 unit to the right and 3 units down to find another point, and continue this pattern to draw the line.

Here is the graph of the linear equation y = -3x + 2:

```
|
3 | *
| *
| *
| *
| *
| *
0 | *
-------------------
0 1 2 3 4
```

The line starts at (0, 2) and slopes downward to the left.