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
**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
1 answer