Question

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

x	y
3	49
4	38
5	27

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

Explanation:

Step1: Find the slope (m)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(2,60)$ and $(x_2,y_2)=(3,49)$. Then $m=\frac{49 - 60}{3 - 2}=\frac{- 11}{1}=-11$.

Step2: Find the y - intercept (b)

Use the point - slope form $y - y_1=m(x - x_1)$ and then convert to slope - intercept form $y=mx + b$. Using the point $(2,60)$ and $m=-11$, we have $y-60=-11(x - 2)$. Expand: $y-60=-11x + 22$. Add 60 to both sides: $y=-11x+82$.

Answer:

$y=-11x + 82$