Question

What is the equation of the function that is graphed as line a?

Answer 1

Answer:

$y = - x-1$

Step-by-step explanation:

The line a passes through th points (-1,0) and (0,-1)

The equation of line which is passes through the point $(x_1,y_1)$ and $(x_2,y_2)$ is

$(y-y_1)= \frac{y_2-y_1}{x_2-x_1} (x-x_1)$

Therefore the equation of line which passes through the points (-1,0) and (0,-1)

is

$y-0=\frac{-1-0}{0-(-1)} [x-(-1)]$       [ $x_1 = -1, y_1= 0$ $x_2 = 0$  and $y_2 = -1$]

$\Leftrightarrow y = -1 (x+1)$

$\Leftrightarrow y = - x-1$