Question

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

Explanation:

Step1: Find the slope

The line passes through points $(0, - 1)$ and $(12, - 13)$. The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=-1,x_2 = 12,y_2=-13$. So $m=\frac{-13-(-1)}{12 - 0}=\frac{-13 + 1}{12}=\frac{-12}{12}=-1$.

Step2: Find the y - intercept

The y - intercept $b$ is the y - value when $x = 0$. From the point $(0,-1)$, we can see that $b=-1$.

Step3: Write the equation of the line

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

Answer:

$y=-x - 1$