Question

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

Y=__x +__

Answer 1

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.