Slope-Intercept Form Quick Check
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Question
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 10 to 10 in one unit increments. An upward slanting line is graphed on the coordinate plane. The upward slanting line passes through closed points plotted at left parenthesis 0 comma negative 10 right parenthesis and left parenthesis 1 comma negative 7 right parenthesis.
Is this the correct graph of 3x−y=10?
(1 point)
Responses
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 left parenthesis 0 comma negative 10 right parenthesis .
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 left parenthesis 0 comma negative 10 right parenthesis .
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 negative 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .
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 negative 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .
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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).
To determine if the given graph is the correct graph of the equation 3x - y = 10, we need to compare the given equation to the characteristics of the graph.
The equation is in the form of y = mx + b, which is called the slope-intercept form. In this form, m represents the slope of the line and b represents the y-intercept.
Comparing the equation 3x - y = 10 to the slope-intercept form, we need to rearrange it:
3x - y = 10
-y = -3x + 10
y = 3x - 10
Now we can see that the slope of the line is 3 and the y-intercept is (0, -10).
Looking at the description and the graph, the line passes through the points (0, -10) and (1, -7), which confirms that the slope is 3 and the y-intercept is (0, -10).
Therefore, the correct answer is:
Yes, it is the correct graph because the slope is 3 and the y-intercept is (0, -10).