Question

1. write the equation of the line that passes through the points (-12, -12) and (-12, 0). put your answer in fully simplified point - slope form, unless it is a vertical or horizontal line.
2. write the equation of the line that passes through the points (-3, -1) and (5, -1). put your answer in fully simplified point - slope form, unless it is a vertical or horizontal line.

Explanation:

Question 2

Step1: Check line type (vertical/horizontal)

The x - coordinates of the points \((-12, -12)\) and \((-12, 0)\) are the same (\(x=-12\)). So, this is a vertical line.

Step2: Write the equation

For a vertical line, the equation is of the form \(x = a\), where \(a\) is the x - coordinate of any point on the line. Since the x - coordinate of both points is \(-12\), the equation is \(x=-12\).

Step1: Check line type (vertical/horizontal)

The y - coordinates of the points \((-3, -1)\) and \((5, -1)\) are the same (\(y = - 1\)). So, this is a horizontal line.

Step2: Write the equation

For a horizontal line, the equation is of the form \(y=b\), where \(b\) is the y - coordinate of any point on the line. Since the y - coordinate of both points is \(-1\), the equation is \(y=-1\).

Answer:

\(x = - 12\)

Question 3