Question

The ordered pairs below represent a linear function.

(3/4, 6 1/4), (1 1/4, 7 3/4), (x, y)

Which values could be the value of x and y?

Answer 1

I think the answer would be Y=3x+4

Answer 2

x can be any real number, and y is the corresponding number according to the function y=3x+4

Explanation:

We find the function first, by finding the slope.

Using this formula, m= (y1-y2)/(x1-x2)

= (31/4 - 25/4)/(5/4 - 3/4) = 3/2÷1/2 = 3

Now we can find the y-intercept by substituting it as b, and x and y as one of the points.

y=mx+b

25/4=9/4+b

b=4

And now you fill out the format, y=mx+b with your newfound values of m and b,

y=3x+4

From this function, you can input any real number (x) and get your corresponding value (y).