Question

2. Generate two ordered pairs by substituting

zero for x and y. Then, find the rate of change.
4x-8y = -32

Answer 1

To generate two ordered pairs by substituting zero for x and y, we can use:

- When x = 0:

4(0) - 8y = -32

-8y = -32

y = 4

So one ordered pair is (0, 4).

- When y = 0:

4x - 8(0) = -32

4x = -32

x = -8

So another ordered pair is (-8, 0).

To find the rate of change, we can use the formula:

rate of change = (change in y) / (change in x)

Let's use the two ordered pairs we found to calculate the rate of change:

rate of change = (4 - 0) / (0 - (-8)) = 4 / 8 = 1/2

Therefore, the rate of change for the equation 4x - 8y = -32 is 1/2.