Question

Which linear equation is defined by the table of values?

x: -2, -1, 1, 2
y: -5, -2, 4, 7

A. y = 3x - 2
B. y = 3x + 2
C. y = 3x + 1
D. y = 3x

Answer 1

The linear equation defined by the table of values is y = 3x + 1. Therefore, the linear equation is y = 3x + 1, which corresponds to option C.

Step-by-step explanation:

The linear equation defined by the table of values is y = 3x + 1.

To determine this, we can find the slope (m) by selecting two points from the table and calculating the change in y divided by the change in x. Let's choose (-1, -2) and (2, 7).

Slope (m) = (7 - (-2)) / (2 - (-1)) = 9 / 3 = 3

Now, we need to find the y-intercept (b) by substituting the values of one point (for example, (-1, -2)) and the slope (m) into the equation y = mx + b:

-2 = 3 * (-1) + b

-2 = -3 + b

b = -2 + 3 = 1

Therefore, the linear equation is y = 3x + 1, which corresponds to option C.