Write the equation of the linear function that passes through the points (2,2) and (0,3)
First, we need to find the slope of the line that passes through the given points.
The formula for finding the slope (m) of a line passing through two points, (x1, y1) and (x2, y2), is:
m = (y2 - y1) / (x2 - x1)
Plugging in the given points (2,2) and (0,3), we get:
m = (3 - 2) / (0 - 2)
m = 1 / -2
m = -1/2
Now that we have the slope, we can use the point-slope formula to find the equation of the line. The point-slope formula is:
y - y1 = m(x - x1)
Plugging in one of the given points, for example (2,2), we get:
y - 2 = -1/2(x - 2)
Simplifying:
y - 2 = -1/2x + 1
y = -1/2x + 3
Therefore, the equation of the linear function that passes through the points (2,2) and (0,3) is y = -1/2x + 3.