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 two points on the line

Let's take the points $(-8,1)$ and $(0,4)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(-8,1)$ and $(0,4)$ gives $m=\frac{4 - 1}{0-(-8)}=\frac{3}{8}$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point $(0,4)$, $b = 4$.

Step4: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m=\frac{3}{8}$ and $b = 4$ gives $y=\frac{3}{8}x+4$.

Answer:

$y=\frac{3}{8}x + 4$