To find the equations of the lines given the points, we first determine the slopes and the types of each line.
Line A
Points: (–5, –2), (–5, 7)
Observation: Since both points have the same x-coordinate (-5), Line A is a vertical line.
- A vertical line has an undefined slope and is represented by the equation \( x = a \), where \( a \) is the x-coordinate of the line.
Equation of Line A: \[ x = -5 \]
Line B
Points: (7, –5), (–2, –5)
Observation: Since both points have the same y-coordinate (-5), Line B is a horizontal line.
- A horizontal line has a slope of 0 and is represented by the equation \( y = b \), where \( b \) is the y-coordinate of the line.
Equation of Line B: \[ y = -5 \]
Summary
- Line A has a vertical slope.
- The equation of Line A is \( x = -5 \).
- Line B has a horizontal slope.
- The equation of Line B is \( y = -5 \).