Question

create a formula for the points (1,5),(2,7),(3,9), and (4,11)
a y=-2x+3
b y=-2x-3
c y=2x+3
d y=2x-3

Answer 1

To determine the formula that fits the points (1, 5), (2, 7), (3, 9), and (4, 11), we can first identify the nature of the relationship between the x and y coordinates.

Let's look at the points:

- For (1, 5), if we substitute x = 1 into a linear equation, we find that y = 2(1) + 3 = 5.
- For (2, 7), if we substitute x = 2, y = 2(2) + 3 = 7.
- For (3, 9), if we substitute x = 3, y = 2(3) + 3 = 9.
- For (4, 11), if we substitute x = 4, y = 2(4) + 3 = 11.

This suggests a potential formula of the form \( y = 2x + 3\).

Now, let's examine the given options:

a) \( y = -2x + 3 \)
b) \( y = -2x - 3 \)
c) \( y = 2x + 3 \)
d) \( y = 2x - 3 \)

From our evaluation, the correct formula matching the points (1, 5), (2, 7), (3, 9), and (4, 11) is:

**c) \( y = 2x + 3 \)**.