Question

what is an equation of the line that passes through the points (8, -7) and (-6, -7)?

Explanation:

Step1: Find 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, \( (x_1,y_1)=(8, - 7) \) and \( (x_2,y_2)=(-6,-7) \). So \( m=\frac{-7-(-7)}{-6 - 8}=\frac{0}{-14}=0 \).

Step2: Use point - slope form

The point - slope form of a line is \( y - y_1=m(x - x_1) \). Using the point \( (8,-7) \) and \( m = 0 \), we get \( y-(-7)=0\times(x - 8) \), which simplifies to \( y + 7=0 \), or \( y=-7 \).

Answer:

The equation of the line is \( y=-7 \)