A table of valuse of a linear relationship is shown

Question

X= 0 1 2
Y=15 12 9
Create an equation to represent the relationship

Answer 1

To find the equation of the linear relationship, we need to find the slope (m) and the y-intercept (b) using the given values.

First, find the slope:
m = (Y2 - Y1) / (X2 - X1)
m = (12 - 15) / (1 - 0)
m = -3 / 1
m = -3

Next, find the y-intercept by substituting one of the points into the slope-intercept form of a linear equation, y = mx + b:
15 = (-3)(0) + b
15 = b
b = 15

Therefore, the equation representing the relationship is:
y = -3x + 15