Question

The table represents a linear relationship.

x −4 0 4
y −2 −1 0


Which equation represents the table?
y equals one fourth times x minus 1
y equals negative one fourth times x plus 4
y = 4x− 1
y = −4x+ 4

Answer 1

(a) y = 1/4x -1

Explanation:

You want the equation that represents the table ...

x = -4, 0, 4

y = -2, -1, 0

Equation

The table tells you the y-value for x = 0 is -1. This means the y-intercept in the equation is -1. This is the value that is added to the x-term in the equation. (Eliminates choices B and D).

We notice that the changes in x are greater than the changes in y, so the coefficient of the x-term will be less than 1. (Eliminates choice C.)

The correct equation for the table is ...

y = 1/4x -1 . . . . matches choice A

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