find the equation of the line passing through the points (2, 4) and (3, 2).\ny = ?x +

Explanation:

Step1: Calculate the slope

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 2,y_1=4,x_2 = 3,y_2 = 2$. So $m=\frac{2 - 4}{3 - 2}=\frac{-2}{1}=- 2$.

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 $(2,4)$ and $m=-2$. $y - 4=-2(x - 2)$ $y-4=-2x + 4$ $y=-2x+8$

Answer:

$y=-2x + 8$