Question

write the linear equation that gives the rule for this table. write your answer as an equation with y first, followed by an equals sign.

x	y
3	23
2	25
1	27

Explanation:

Step1: Find the slope (m)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(1,27)$ and $(x_2,y_2)=(2,25)$. Then $m=\frac{25 - 27}{2 - 1}=\frac{- 2}{1}=-2$.

Step2: Find the y - intercept (b)

Use the point - slope form $y - y_1=m(x - x_1)$ with the point $(x_1,y_1)=(1,27)$ and $m=-2$. So $y - 27=-2(x - 1)$. Expand to get $y-27=-2x + 2$. Then $y=-2x+29$.

Answer:

$y=-2x + 29$