complete the equation of the line through (1, 4) and (2, 2). use exact numbers. y =

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Given $(x_1,y_1)=(1,4)$ and $(x_2,y_2)=(2,2)$, then $m=\frac{2 - 4}{2 - 1}=\frac{-2}{1}=- 2$.

Step2: Find the y - intercept

Use the point - slope form $y - y_1=m(x - x_1)$ and then convert to slope - intercept form $y=mx + b$. Let's use the point $(1,4)$ and $m=-2$. $y - 4=-2(x - 1)$ $y-4=-2x + 2$ $y=-2x+2 + 4$ $y=-2x + 6$

Answer:

$y=-2x + 6$