Question

write the equation of this line in slope-intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify slope-intercept form

Slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Find the y - intercept ($b$)

The line crosses the y - axis at $(0, - 3)$, so $b=-3$.

Step3: Calculate the slope ($m$)

We can use two points on the line. Let's use $(-3,0)$ and $(0, - 3)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Substitute $x_1=-3,y_1 = 0,x_2 = 0,y_2=-3$ into the formula:
$m=\frac{-3 - 0}{0-(-3)}=\frac{-3}{3}=-1$

Step4: Write the equation

Substitute $m = - 1$ and $b=-3$ into $y=mx + b$.
We get $y=-x - 3$

Answer:

$y=-x - 3$