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 $(0,30)$, so $b = 30$.

Step2: Find the slope

Choose two points on the line, say $(0,30)$ and $(50,60)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{60 - 30}{50-0}=\frac{30}{50}=\frac{3}{5}$.

Step3: Write the equation

The slope - intercept form of a line is $y=mx + b$. Substituting $m=\frac{3}{5}$ and $b = 30$, we get $y=\frac{3}{5}x+30$.

Answer:

$y=\frac{3}{5}x + 30$