Question

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

x	y
6	42
7	34
8	26

write your answer as an equation with y first, followed by an equals sign.

Explanation:

Step1: Find the slope (m)

The formula for slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Using points (5, 50) and (6, 42):
\( m = \frac{42 - 50}{6 - 5} = \frac{-8}{1} = -8 \).

Step2: Use point - slope form to find the equation

Point - slope form: \( y - y_1 = m(x - x_1) \). Using point (5, 50) and \( m = -8 \):
\( y - 50 = -8(x - 5) \).
Simplify: \( y - 50 = -8x + 40 \), then \( y = -8x + 90 \).

Answer:

\( y = -8x + 90 \)