The graph of a linear function passes through the points (0,
) and (1,
).
Which equation represents the function?
Responses
A
B
C
D
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