Write the equation of the linear function that passes through the points (2,2) and (0,3)
y =___x +___
First, calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (3 - 2) / (0 - 2)
m = 1 / -2
m = -1/2
Now that we have the slope, we can use one of the points to find the y-intercept (b). Let's use the point (2, 2).
Using the slope-intercept form of a linear equation (y = mx + b):
2 = -1/2(2) + b
2 = -1 + b
3 = b
Therefore, the equation of the linear function is:
y = -1/2x + 3