Question

Write the equation of the linear function that passes through the points ( 9, 1) and ( 11, 5)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The slope (m) can be calculated using the formula:

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

Given points are (9, 1) and (11, 5).
Let (x1, y1) = (9, 1)
Let (x2, y2) = (11, 5)

Substitute the values in the formula:
m = (5 - 1) / (11 - 9)
m = 4 / 2
m = 2

Now we have the slope (m = 2)

To find the y-intercept (b), we can use the formula y = mx + b and substitute one of the points along with the slope calculated.

Using the point (9, 1):
1 = 2(9) + b
1 = 18 + b
b = 1 - 18
b = -17

Therefore, the equation of the linear function passing through the points (9, 1) and (11, 5) is:
y = 2x - 17