To find the equation that represents the same line as the points in the table, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Using the points from the table:
Point 1: (-6, 0)
Point 2: (0, -2)
Calculate the slope:
m = (0 - (-2))/(-6 - 0) = 2/-6 = -1/3
Using point-slope form with the point (0, -2):
y - (-2) = -1/3(x - 0)
y + 2 = -1/3x
y = -1/3x - 2
Therefore, the equation that represents the same line as the points in the table is:
y = -1/3x - 2
The answer is C. y=-1/3x-2.
Which equation represents the same line as the points in the table?
Input (x)
Output (y)
−6
0
0
−2
3
−3
Responses
A. y=−13x−6
y is equal to negative 1 third x minus 6
B. y=−6x−2
y is equal to negative 6 x minus 2
C. y=−13x−2
y is equal to negative 1 third x minus 2
D. y=−2x−13
1 answer