Question

Write the linear equation that gives the rule for this table.

X
3
4
5
6
y
-7
-19
-31
-43
Write your answer as an equation with y first, followed by an equals sign.

Answer 1

The Linear equation that is represented by the table is: y = -12x + 29

What is the Linear Equation of the Table?

The formula to find the linear equation between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

Using the coordinates (3, -7) and (4, -19), we have:

(y - (-7))/(x - 3) = (-19 - (-7))/(4 - 3)

(y + 7)/(x - 3) = -12

y + 7 = -12x + 36

y = -12x + 36 - 7

y = -12x + 29