Question

question graph the line that passes through the points (8, -3) and (2, -3) and determine the equation of the line.

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, \((x_1, y_1)=(8, - 3)\) and \((x_2, y_2)=(2, - 3)\). So \( m=\frac{-3-(-3)}{2 - 8}=\frac{0}{-6} = 0\).

Step2: Use point - slope form

The point - slope form of a line is \( y - y_1=m(x - x_1)\). Using the point \((8, - 3)\) and \( m = 0\), we get \( y-(-3)=0\times(x - 8)\), which simplifies to \( y + 3=0\), or \( y=-3\).

Answer:

The equation of the line is \( y=-3\)