Question

The graph of a linear function passes through the points (0,


) and (1,


).



Which equation represents the function?

Responses
A








B








C








D

Answer 1

To find the equation of the linear function that passes through the points (0, y1) and (1, y2), we can use the slope-intercept form of a linear equation:

y = mx + b

Where m is the slope of the line and b is the y-intercept.

First, calculate the slope:

m = (y2 - y1) / (1 - 0) = (y2 - y1) / 1 = y2 - y1

Now, plug in one of the points to solve for b:

y1 = m(0) + b
y1 = b

Since y1 = b, the equation becomes:

y = (y2 - y1)x + y1

Given points (0, y1) and (1, y2), the equation would be:

y = (y2 - y1)x + y1

So the correct equation representing the function is:

y = (y2 - y1)x + y1

Therefore, the correct response is:

B. y = (y2 - y1)x + y1