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 intercept points

The line crosses the y-axis at $(0, 0)$ and the x-axis at $(0, 0)$. Another point on the line is $(-6, -6)$.

Step2: Calculate the slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-6 - 0}{-6 - 0} = 1$

Step3: Identify y-intercept

The y-intercept $b = 0$, since the line passes through $(0,0)$.

Step4: Write slope-intercept form

Slope-intercept form is $y = mx + b$. Substitute $m=1$, $b=0$.
$y = 1x + 0$

Answer:

$y = x$