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 $(0,14)$, so $b = 14$.

Step2: Find the slope

Choose two points on the line, say $(0,14)$ and $(- 14,0)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{14 - 0}{0-(-14)} = 1$.

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substituting $m = 1$ and $b = 14$, we get $y=x + 14$.

Answer:

$y=x + 14$