Question

a line passes through the points (-6, 4) and (4, 4). 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

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Here, \( x_1=-6,y_1 = 4,x_2 = 4,y_2=4 \). So \( m=\frac{4 - 4}{4-(-6)}=\frac{0}{10}=0 \).

Step2: Use point - slope form to find the equation

The point - slope form is \( y - y_1=m(x - x_1) \). Using the point \((-6,4)\) and \( m = 0 \), we get \( y-4=0\times(x + 6) \), which simplifies to \( y-4 = 0 \), and then \( y=4 \).

Answer:

\( y = 4 \)