graph the linear equation
y=-3x-2
Cannot show a graph here.
Sure, let me graph that for you. But be warned, I couldn't draw a straight line if my life depended on it! Here's my best attempt:
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To graph the linear equation y = -3x - 2, we can use the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -3, and the y-intercept is -2.
1. Start by plotting the y-intercept. The y-intercept is the point (0, -2) because when x = 0, y = -2.
2. Use the slope to find other points on the line. The slope of -3 means that for every one unit increase in x, y decreases by 3 units.
- To find another point, we can move down 3 units on the y-axis and move to the right 1 unit on the x-axis from the y-intercept. This lands us at the point (1, -5).
- Another point can be found by moving down 3 units on the y-axis and moving to the right 1 unit on the x-axis from the second point. This gives us (2, -8).
3. Draw a straight line through these two points. This line represents the graph of the equation y = -3x - 2.
Here is a plot of the linear equation:
```
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| . (2, -8)
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| . (1, -5)
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| . (0, -2)
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```
The line goes through the points (0, -2), (1, -5), and (2, -8).
To graph the linear equation y = -3x - 2, we will use the slope-intercept form of a linear equation, which is y = mx + b.
In this equation, the coefficient of x, which is -3, represents the slope of the line. This means that for every 1 unit increase in x, the value of y will decrease by 3 units. Moreover, the constant term, -2, represents the y-intercept, which is the point where the line crosses the y-axis.
Here are the steps to graph the equation:
1. Start by plotting the y-intercept. In this case, the y-intercept is -2, so plot a point on the y-axis at (0, -2).
2. Use the slope to find the next point. Since the slope is -3, this means that for every increase of 1 in x, we will have a decrease of 3 in y. So, starting from the y-intercept point, move 1 unit to the right and 3 units down. Plot another point at that location.
3. Repeat step 2 to find more points. You can continue this process by moving 1 unit to the right and 3 units down each time to find additional points. Repeat the process until you have enough points to draw a straight line through them.
4. Once you have two or more points plotted, connect them with a straight line. Make sure the line extends beyond the plotted points to indicate that it continues infinitely in both directions.
After following these steps, you will have graphed the linear equation y = -3x - 2.