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 the y - intercept

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

Step2: Calculate the slope

The line passes through $(0,5)$ and $(1,0)$. Using the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we have $m=\frac{0 - 5}{1-0}=\frac{- 5}{1}=-5$.

Step3: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m=-5$ and $b = 5$ gives $y=-5x + 5$.

Answer:

$y=-5x + 5$