The equation that represents the linear function passing through the points (0, 1/2) and (1, 1/4) can be found by using the point-slope formula.
We first find the slope (m) of the line using the given points:
m = (1/4 - 1/2) / (1 - 0) = (-1/4) / 1 = -1/4
Now that we have the slope, we can use one of the points to plug into the point-slope formula y - y1 = m(x - x1). Let's use (0, 1/2):
y - 1/2 = -1/4(x - 0)
y - 1/2 = -1/4x
Simplifying, we get:
y = -1/4x + 1/2
Therefore, the correct equation that represents the function is:
A. y = -1/4x + 1/2
The graph of a linear function passes through the points (0, 1/2) and (1, 1/4).
Which equation represents the function?
A. y=1/4x+1/2
B. y=1/4x+1/2
C. y=-1/4x-1/2
D. y=1/4x-1/2
1 answer
1 answer