Question

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

Explanation:

Step1: Identify the y - intercept

The line crosses the y - axis at the point $(0,5)$, so $b = 5$.

Step2: Calculate the slope

Pick two points on the line, say $(0,5)$ and $(- 6,0)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{5-0}{0 - (-6)}=\frac{5}{6}$.

Step3: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m=\frac{5}{6}$ and $b = 5$ gives $y=\frac{5}{6}x+5$.

Answer:

$y=\frac{5}{6}x + 5$