Question

**The graph of a linear function passes through the points (0, 1/2) and ( 1, 1/4

A

Which equation represents the function?

A y = 1/4 * x + 1/2

y = - 1/4 * x + 1/3

C y = - 1/4 * x - 1/2

D y = 1/4 * x - 1/2

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can use the point-slope formula to find the equation of a line passing through two points:

y - y1 = m(x - x1)

Using the points provided, (0, 1/2) and (1, 1/4):

For point (0, 1/2):
y - 1/2 = m(x - 0)
y - 1/2 = mx

For point (1, 1/4):
1/4 - 1/2 = m(1 - 0)
-1/4 = m

Therefore, the equation of the linear function is:

y - 1/2 = - 1/4 * x

y = -1/4 * x + 1/2

So, the correct equation representing the function is A) y = -1/4 * x + 1/2