To graph the equation y = -2x + 1, we can start by plotting a few points and then connecting them to form a line.
We can choose any values for x and substitute them into the equation to find the corresponding y-values. Let's choose x = -2, 0, and 2.
When x = -2:
y = -2(-2) + 1
y = 4 + 1
y = 5
So the first point is (-2, 5).
When x = 0:
y = -2(0) + 1
y = 1
So the second point is (0, 1).
When x = 2:
y = -2(2) + 1
y = -4 + 1
y = -3
So the third point is (2, -3).
Now, we can plot these points on a graph and connect them with a straight line.
Here is what the graph looks like:
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5 | *
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1 |
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-3 | *
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-4 -2 0 2 4 6 8
The line passes through the points (-2, 5), (0, 1), and (2, -3) and extends indefinitely in both directions.
We're to graph y=-2x+1
7 answers
Only two dots
Apologies for the confusion. To graph the equation y = -2x + 1, we need to plot two points and connect them to form a line.
Let's choose x = 0 and x = 1:
When x = 0:
y = -2(0) + 1
y = 0 + 1
y = 1
So the first point is (0, 1).
When x = 1:
y = -2(1) + 1
y = -2 + 1
y = -1
So the second point is (1, -1).
Now, we can plot these points on a graph and connect them with a straight line.
Here is what the graph looks like:
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-1 0 1 2
The line passes through the points (0, 1) and (1, -1) and extends indefinitely in both directions.
Let's choose x = 0 and x = 1:
When x = 0:
y = -2(0) + 1
y = 0 + 1
y = 1
So the first point is (0, 1).
When x = 1:
y = -2(1) + 1
y = -2 + 1
y = -1
So the second point is (1, -1).
Now, we can plot these points on a graph and connect them with a straight line.
Here is what the graph looks like:
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-1 0 1 2
The line passes through the points (0, 1) and (1, -1) and extends indefinitely in both directions.
How to graph y=3x-4
To graph the equation y = 3x - 4, we can follow a similar process as before by plotting points and connecting them to form a line.
Let's choose x = -2, 0, and 2:
When x = -2:
y = 3(-2) - 4
y = -6 - 4
y = -10
So the first point is (-2, -10).
When x = 0:
y = 3(0) - 4
y = 0 - 4
y = -4
So the second point is (0, -4).
When x = 2:
y = 3(2) - 4
y = 6 - 4
y = 2
So the third point is (2, 2).
Now, we can plot these points on a graph and connect them with a straight line.
Here is what the graph looks like:
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-10| *
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-4| *
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2| *
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-2 0 2 4
The line passes through the points (-2, -10), (0, -4), and (2, 2) and extends indefinitely in both directions.
Let's choose x = -2, 0, and 2:
When x = -2:
y = 3(-2) - 4
y = -6 - 4
y = -10
So the first point is (-2, -10).
When x = 0:
y = 3(0) - 4
y = 0 - 4
y = -4
So the second point is (0, -4).
When x = 2:
y = 3(2) - 4
y = 6 - 4
y = 2
So the third point is (2, 2).
Now, we can plot these points on a graph and connect them with a straight line.
Here is what the graph looks like:
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-10| *
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-4| *
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2| *
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-2 0 2 4
The line passes through the points (-2, -10), (0, -4), and (2, 2) and extends indefinitely in both directions.
Two dots
Apologies for the confusion. To graph the equation y = 3x - 4, we need to plot two points and connect them to form a line.
Let's choose x = 0 and x = 1:
When x = 0:
y = 3(0) - 4
y = 0 - 4
y = -4
So the first point is (0, -4).
When x = 1:
y = 3(1) - 4
y = 3 - 4
y = -1
So the second point is (1, -1).
Now, we can plot these points on a graph and connect them with a straight line.
Here is what the graph looks like:
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-4 | *
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-1 | *
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-2 0 2 4
The line passes through the points (0, -4) and (1, -1) and extends indefinitely in both directions.
Let's choose x = 0 and x = 1:
When x = 0:
y = 3(0) - 4
y = 0 - 4
y = -4
So the first point is (0, -4).
When x = 1:
y = 3(1) - 4
y = 3 - 4
y = -1
So the second point is (1, -1).
Now, we can plot these points on a graph and connect them with a straight line.
Here is what the graph looks like:
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-4 | *
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-1 | *
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-2 0 2 4
The line passes through the points (0, -4) and (1, -1) and extends indefinitely in both directions.