Question

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

y =___x +___

Answer 1

First, we need to find the slope (m) of the line 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) using the formula y = mx + b. Let's use the point (2, 2):

2 = (-1/2)(2) + b
2 = -1 + b
b = 3

Therefore, the equation of the linear function passing through the points (2, 2) and (0, 3) is:

y = -1/2x + 3