Write the equation for the linear function.

A={ (x, y) : (4,2) (0,1) ... }

1. y=-x/4+1

2. y=-4x+1

3. y=x/4+1

4. y=4x+1

The answer to your question is number 3.

Step-by-step explanation:

Data

A (4, 2)

B (0, 1)

Process

1. - Find the slope

m = (y2 - y1) / (x2 - x1)

- Substitution

m = (1 - 2) / (0 - 4)

- Simplification

m = - 1/-4

= 1/4

2. - Find the equation of the line

y - y1 = m (x - x1)

- Substitution

y - 1 = 1/4 (x - 0)

-Simplification

y - 1 = 1/4x

- Result

y = 1/4x + 1