Question

find an equation for the line below

Explanation:

Step1: Identify two points

Let's take two points on the line, say $(x_1,y_1)=(0, 2)$ and $(x_2,y_2)=(2,0)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{0 - 2}{2-0}=\frac{-2}{2}=- 1$.

Step3: Use the slope - intercept form $y = mx + b$

We know that when $x = 0$, $y=2$, so the $y$-intercept $b = 2$. Substituting $m=-1$ and $b = 2$ into $y=mx + b$, we get $y=-x + 2$.

Answer:

$y=-x + 2$