Question

X = -7.5, -3.5, -1, 2, 3.5

Y = 12, 0, -7.5, -16.5, -21
What is the linear equation?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the linear equation for these points, we can use the formula for the equation of a line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using the formula:
m = (Y2 - Y1) / (X2 - X1)

Using the points (X1, Y1) = (-7.5, 12) and (X2, Y2) = (3.5, -21):
m = (-21 - 12) / (3.5 - (-7.5))
m = (-33) / (3.5 + 7.5)
m = -33 / 11
m = -3

Now that we have the slope, we can use one of the points to find the y-intercept (b). Let's use the point (X1, Y1) = (-7.5, 12):
12 = -3(-7.5) + b
12 = 22.5 + b
b = 12 - 22.5
b = -10.5

Therefore, the linear equation for the given points is:
y = -3x - 10.5