Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we need to find the slope of the line that passes through the given points.

The formula for finding the slope (m) of a line passing through two points, (x1, y1) and (x2, y2), is:

m = (y2 - y1) / (x2 - x1)

Plugging in the given points (2,2) and (0,3), we get:

m = (3 - 2) / (0 - 2)
m = 1 / -2
m = -1/2

Now that we have the slope, we can use the point-slope formula to find the equation of the line. The point-slope formula is:

y - y1 = m(x - x1)

Plugging in one of the given points, for example (2,2), we get:

y - 2 = -1/2(x - 2)

Simplifying:

y - 2 = -1/2x + 1
y = -1/2x + 3

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