Question

Write the equation of the linear function that passes through the points (

3
3,
−
2
−2) and (
−
7
−7,
2
2).

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we will calculate the slope of the line using the formula:

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

m = (2 - (-2)) / (-7 - 3)
m = 4 / -10
m = -2/5

Now that we have the slope, we can use it to find the y-intercept (b) by substituting one of the points into the slope-intercept form of a linear function (y = mx + b). Let's use the point (3, -2):

-2 = (-2/5)(3) + b
-2 = -6/5 + b
b = -2 + 6/5
b = -2 + 1.2
b = -0.8

Now we have the slope (m) and y-intercept (b), so we can write the equation of the linear function:

y = -2/5x - 0.8