Question

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

Explanation:

Step1: Find the y - intercept

The line crosses the y - axis at the point $(0,4)$, so $b = 4$.

Step2: Find the slope

Pick two points on the line, say $(0,4)$ and $(- 6,0)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{4-0}{0 - (-6)}=\frac{4}{6}=\frac{2}{3}$.

Step3: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m = \frac{2}{3}$ and $b = 4$ gives $y=\frac{2}{3}x+4$.

Answer:

$y=\frac{2}{3}x + 4$