Write the equation of the linear function that passes through the points (2,2) and (0,3).

Y=__x +__

1 answer

To find the equation of the linear function passing through the points (2,2) and (0,3), we need to calculate the slope and then use one of the points to find the y-intercept.

First, calculate the slope using the formula:

slope = (y2 - y1) / (x2 - x1)
slope = (3 - 2) / (0 - 2) = 1 / (-2) = -1/2

Now that we have the slope, we can use it in the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.

Using the point (2,2):
2 = -1/2*2 + b
2 = -1 + b
b = 3

So, the y-intercept is 3.

Therefore, the equation of the linear function is:
Y = -1/2x + 3.