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 of the line passing through these two points.

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

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation of the linear function:
y - y1 = m(x - x1)
y - 3 = (-1/2)(x - 0)
y - 3 = (-1/2)x
y = (-1/2)x + 3

Therefore, the equation of the linear function passing through the points (2,2) and (0,3) is:
y = (-1/2)x + 3