Questions: Write the equation of the line through the points (-1,5) and (-1,6).

Transcript text: 6. Write the equation of the line through the points $(-1,5)$ and $(-1,6)$.

Solution

Solution Steps

To find the equation of a line through two points, we first determine if the line is vertical or not. If the x-coordinates of both points are the same, the line is vertical, and its equation is $x = \text{constant}$. In this case, since both points have the same x-coordinate, the line is vertical.

Step 1: Identify the Points

The points given are $ (-1, 5) $ and $ (-1, 6) $. Both points have the same x-coordinate of $-1$.

Step 2: Determine the Type of Line

Since the x-coordinates of both points are identical, the line passing through these points is vertical.

Step 3: Write the Equation of the Line

The equation of a vertical line is expressed as $ x = \text{constant} $. In this case, the constant is the x-coordinate of the points, which is $-1$.