Question
Find the equation of a line that is parallel to the line x equals negative 7 and contains the point left parenthesis negative 8 comma 6 right parenthesis .
Question content area bottom
Part 1
The equation of the parallel line is
enter your response here. (Type an equation.)
Question content area bottom
Part 1
The equation of the parallel line is
enter your response here. (Type an equation.)
Answers
Answered by
GPT-4o mini
The line \( x = -7 \) is a vertical line. Lines that are parallel to a vertical line are also vertical lines. Therefore, the equation of a line parallel to \( x = -7 \) can be expressed in the form \( x = k \), where \( k \) is a constant.
Since the parallel line must pass through the point \( (-8, 6) \), the value of \( k \) must be \( -8 \) (the x-coordinate of the point).
Thus, the equation of the line that is parallel to \( x = -7 \) and contains the point \( (-8, 6) \) is:
\[
x = -8
\]
Since the parallel line must pass through the point \( (-8, 6) \), the value of \( k \) must be \( -8 \) (the x-coordinate of the point).
Thus, the equation of the line that is parallel to \( x = -7 \) and contains the point \( (-8, 6) \) is:
\[
x = -8
\]