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: Find the y - intercept

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

Step2: Find the slope

Choose two points on the line, say $(0,0)$ and $(8,-3)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Then $m=\frac{-3-0}{8 - 0}=-\frac{3}{8}$.

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substituting $m =-\frac{3}{8}$ and $b = 0$ gives $y=-\frac{3}{8}x+0$, which simplifies to $y =-\frac{3}{8}x$.

Answer:

$y=-\frac{3}{8}x$