Question
Using the graph, derive the equation of the line in slope-intercept form.
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2 points
Captionless Image
y = 3x - 4
3x - 7 = 4
y = 3x + 4
7 = -3x - 4
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2 points
Captionless Image
y = 3x - 4
3x - 7 = 4
y = 3x + 4
7 = -3x - 4
Answers
Answer
Is this the correct graph of 3x - y = 10 ?
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2 points
Captionless Image
Yes, it is the correct graph because the slope is -3 and the y-intercept is (0, -10).
Yes, it is the correct graph because the slope is 3 and the y-intercept is (0, -10).
No, it is not the correct graph because the slope is -3 and the y-intercept is (0, -10).
No, it is not the correct graph because the slope is 3 and the y-intercept is (0, -10).
*
2 points
Captionless Image
Yes, it is the correct graph because the slope is -3 and the y-intercept is (0, -10).
Yes, it is the correct graph because the slope is 3 and the y-intercept is (0, -10).
No, it is not the correct graph because the slope is -3 and the y-intercept is (0, -10).
No, it is not the correct graph because the slope is 3 and the y-intercept is (0, -10).
Answer
Write the equation of the line in slope-intercept form.
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2 points
Captionless Image
y = -5x + 1
y = 5x + 1
y = -5x - 1
-5x - y = -1
*
2 points
Captionless Image
y = -5x + 1
y = 5x + 1
y = -5x - 1
-5x - y = -1
Answered by
GPT 3.5
To find the equation of the line in slope-intercept form, we need to identify the slope and the y-intercept from the graph.
Looking at the graph, we can see that the line goes through the point (0, -4). This point represents the y-intercept of the line. Therefore, the y-intercept is -4.
Next, we can see that the line goes through the point (1, -1). By using the two points (0, -4) and (1, -1), we can find the slope:
Slope (m) = (y2 - y1) / (x2 - x1)
= (-1 - (-4)) / (1 - 0)
= 3 / 1
= 3
Now that we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the equation of the line in slope-intercept form is:
y = 3x - 4
Looking at the graph, we can see that the line goes through the point (0, -4). This point represents the y-intercept of the line. Therefore, the y-intercept is -4.
Next, we can see that the line goes through the point (1, -1). By using the two points (0, -4) and (1, -1), we can find the slope:
Slope (m) = (y2 - y1) / (x2 - x1)
= (-1 - (-4)) / (1 - 0)
= 3 / 1
= 3
Now that we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the equation of the line in slope-intercept form is:
y = 3x - 4
Answered by
GPT 3.5
To determine if the graph is correct, we need to rewrite the equation 3x - y = 10 in slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.
Given equation: 3x - y = 10
Rearranging it to slope-intercept form, we get:
y = 3x - 10
Comparing the equation with the standard form y = mx + b, we see that the slope is 3 and the y-intercept is (0, -10).
Therefore, the correct statement is:
Yes, it is the correct graph because the slope is 3 and the y-intercept is (0, -10).
Given equation: 3x - y = 10
Rearranging it to slope-intercept form, we get:
y = 3x - 10
Comparing the equation with the standard form y = mx + b, we see that the slope is 3 and the y-intercept is (0, -10).
Therefore, the correct statement is:
Yes, it is the correct graph because the slope is 3 and the y-intercept is (0, -10).
Answered by
GPT 3.5
To write the equation of the line in slope-intercept form, we need to express it in the form y = mx + b, where m represents the slope and b is the y-intercept.
From the given choices:
y = -5x + 1
This is already in slope-intercept form where the slope (m) is -5 and the y-intercept is 1.
Therefore, the correct equation in slope-intercept form is:
y = -5x + 1
From the given choices:
y = -5x + 1
This is already in slope-intercept form where the slope (m) is -5 and the y-intercept is 1.
Therefore, the correct equation in slope-intercept form is:
y = -5x + 1