Question

what is an equation of the line that passes through the points (-7, -5) and (-4, -5)?

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, \( x_1=-7,y_1 = - 5,x_2=-4,y_2=-5 \). So \( m=\frac{-5-(-5)}{-4 - (-7)}=\frac{0}{3}=0 \).

Step2: Use point - slope form

The point - slope form of a line is \( y - y_1=m(x - x_1) \). Using the point \( (-7,-5) \) and \( m = 0 \), we get \( y-(-5)=0\times(x - (-7)) \), which simplifies to \( y + 5=0 \), or \( y=-5 \).

Answer:

\( y=-5 \)