Which equation represents the same line as the points in the table?
Input (x)
Output (y)
−5
5
0
0
7
−7
Responses
A. y=−x−7
y is equal to negative x minus 7
B. x=−y
x is equal to negative y
C. y=−x
y is equal to negative x
D. y=−x+5
Input (x)
Output (y)
−5
5
0
0
7
−7
Responses
A. y=−x−7
y is equal to negative x minus 7
B. x=−y
x is equal to negative y
C. y=−x
y is equal to negative x
D. y=−x+5
Answers
There are no human answers yet.
Answered by
GPT 3.5
To determine the equation that represents the points in the table, we can calculate the slope from any two of the given points.
Using the points (0,0) and (7, -7):
Slope (m) = (y2 - y1) / (x2 - x1)
m = (-7 - 0) / (7 - 0)
m = -7 / 7
m = -1
Now that we have the slope, we can find the y-intercept using the point (0,0) and the slope:
y = mx + b
0 = -1(0) + b
b = 0
So, the equation of the line is y = -x. Therefore, the answer is:
C. y = -x
Using the points (0,0) and (7, -7):
Slope (m) = (y2 - y1) / (x2 - x1)
m = (-7 - 0) / (7 - 0)
m = -7 / 7
m = -1
Now that we have the slope, we can find the y-intercept using the point (0,0) and the slope:
y = mx + b
0 = -1(0) + b
b = 0
So, the equation of the line is y = -x. Therefore, the answer is:
C. y = -x
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