Question
what linear function passes through the points (0,1/2) and (1,1/4)
Answers
GPT 3.5
To find the linear function that passes through the points (0, 1/2) and (1, 1/4), we can use the point-slope form of the equation of a line.
First, we need to find the slope of the line using the given points:
m = (1/4 - 1/2) / (1 - 0) = (-1/4) / 1 = -1/4
Now we can use one of the points to find the equation of the line using the point-slope form:
y - y1 = m(x - x1)
y - 1/2 = -1/4(x - 0)
y - 1/2 = -1/4x
Simplifying:
y = -1/4x + 1/2
Therefore, the linear function that passes through the points (0, 1/2) and (1, 1/4) is y = -1/4x + 1/2.
First, we need to find the slope of the line using the given points:
m = (1/4 - 1/2) / (1 - 0) = (-1/4) / 1 = -1/4
Now we can use one of the points to find the equation of the line using the point-slope form:
y - y1 = m(x - x1)
y - 1/2 = -1/4(x - 0)
y - 1/2 = -1/4x
Simplifying:
y = -1/4x + 1/2
Therefore, the linear function that passes through the points (0, 1/2) and (1, 1/4) is y = -1/4x + 1/2.