Question

This table shows a linear function.

x y
-1 7
0 5
1 3
2 1
3 -1

Based on the information given, how can you verify that the function is linear? Select all that apply. choices shown in image

Answer 1

Explanation:

the 3rd, 5th and 6th answers are correct.

Answer 2

3, 5, 6

Explanation:

For every change in x of 1, there is a change in y of -2.

For an equation to be linear, equal changes in x must produce equal changes in y.

Since that is true here, it is a linear equation.

Point (0, 5) gives you the y-intercept, b = 5.

From (0, 5) to (1, 3), you can calculate the slope:

slope = m = (3 - 5)/(1 - 0) = -2

The equation is y = -2x + 5

The true statements are: 3, 5, 6