The equation x and y are related by y = -0.5x - 5.
Given:
x -2 -1 0 1 2 3
y -4 -4.5 -5 5.5 -6 -6.5
we need to find a equation y = [ ? ]x + [ ]
let we assume the coefficient of x be m and the other constant be c.
So, y = mx + c
Now from the table we see when x = 0 , y = -5
putting this in equation we get
-5 = m * 0 + c
=> c = -5
Rewriting the equation with value of c
y = mx - 5
Now at x = 1 , y = -5.5
Replacing the values we get
-5.5 = m * 1 - 5
m = -0.5
Rewriting the equation with value of m
y = -0.5x - 5
Hence the required equation is:
The equation x and y are related by y = -0.5x - 5.
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