Question

write an equation of the line below.

Explanation:

Step1: Identify two points

Let's take two points on the line, say (-3, 2) and (0, -1).

Step2: Calculate the slope $m$

Use the slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-3,y_1 = 2,x_2 = 0,y_2=-1$. So $m=\frac{-1 - 2}{0-(-3)}=\frac{-3}{3}=-1$.

Step3: Find the y - intercept $b$

The line crosses the y - axis at the point (0, -1), so $b=-1$.

Step4: Write the equation

The slope - intercept form of a line is $y=mx + b$. Substituting $m=-1$ and $b = - 1$, we get $y=-x - 1$.

Answer:

$y=-x - 1$