To graph the equation y = (2/7)x - 4, you can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
The slope of the equation is 2/7, which means the line rises 2 units for every 7 units it runs. The y-intercept is -4, which is the point where the line intersects the y-axis.
To graph the equation, start by plotting the y-intercept point (0, -4):
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-4| •
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0
Since the slope is 2/7, which means the line rises 2 units for every 7 units it runs, you can find the next points by moving up 2 units and to the right 7 units from the previous point:
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|-2 . . . . . . . . . •
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-10 .
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0 5 10 15
Continuing this pattern, you can plot more points and connect them to create a straight line:
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|-2 . . . . . . . . . •
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-10 .
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0 5 10 15
Graph the equation y=2/7 x -4
3 answers
can you explani a little more?
Certainly! Let's break it down step by step:
1. Start by plotting the y-intercept point: The y-intercept is the point where the line intersects the y-axis. In this case, the y-intercept is -4. So, plot the point (0, -4) on the graph.
2. Determine the slope: The slope of the equation is 2/7. This means that for every 7 units the line moves to the right, it will go up 2 units. Another way to express this is that the line rises 2 for every 7 it runs.
3. Use the slope to find the next points: Start from the y-intercept point (0, -4) and move up 2 units and to the right 7 units to find the next point. This will give you the point (7, -2). Repeat this step to find more points by continuing to move up 2 units and to the right 7 units from each previous point.
4. Plot more points and connect them: Plot the points you found using the slope and connect them by drawing a straight line through them. As you continue plotting more points, you will see the line forming.
I hope this clarifies the process for you! Let me know if you have any further questions.
1. Start by plotting the y-intercept point: The y-intercept is the point where the line intersects the y-axis. In this case, the y-intercept is -4. So, plot the point (0, -4) on the graph.
2. Determine the slope: The slope of the equation is 2/7. This means that for every 7 units the line moves to the right, it will go up 2 units. Another way to express this is that the line rises 2 for every 7 it runs.
3. Use the slope to find the next points: Start from the y-intercept point (0, -4) and move up 2 units and to the right 7 units to find the next point. This will give you the point (7, -2). Repeat this step to find more points by continuing to move up 2 units and to the right 7 units from each previous point.
4. Plot more points and connect them: Plot the points you found using the slope and connect them by drawing a straight line through them. As you continue plotting more points, you will see the line forming.
I hope this clarifies the process for you! Let me know if you have any further questions.
1 answer