Question

a line passes through the points (-1, 8) and (2, 8). write its equation in slope-intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Calculate the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Given points $(-1, 8)$ and $(2, 8)$, let $(x_1, y_1) = (-1, 8)$ and $(x_2, y_2) = (2, 8)$. Then $m = \frac{8 - 8}{2 - (-1)} = \frac{0}{3} = 0$.

Step2: Use point - slope form to find the equation

The point - slope form is $y - y_1 = m(x - x_1)$. Using the point $(-1, 8)$ and $m = 0$, we get $y - 8 = 0(x - (-1))$. Simplifying, $y - 8 = 0$, so $y = 8$.

Answer:

$y = 8$