Which equation represents the same line as the points in the table?

Question

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

Answer 1

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