Question

what is an equation of the line that passes through the points (-5, 5) and (8, 5)?

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, \( x_1=-5,y_1 = 5,x_2 = 8,y_2=5 \). So \( m=\frac{5 - 5}{8-(-5)}=\frac{0}{13}=0 \).

Step2: Use point - slope form

The point - slope form of a line is \( y - y_1=m(x - x_1) \). Using \( m = 0 \) and the point \((-5,5)\), we get \( y-5=0\times(x + 5) \), which simplifies to \( y=5 \).

Answer:

The equation of the line is \( y = 5 \)