Question

complete the following equations. enter an equation for line f: y = x

Explanation:

Step1: Find the slope

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the line, say $(0,0)$ and $(2,- 2)$. Then $m=\frac{-2 - 0}{2-0}=-1$.

Step2: Use the slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Since the line passes through the origin $(0,0)$, the y - intercept $b = 0$. So the equation of the line is $y=-1x+0$ or simply $y=-x$.

Answer:

$-1$