Question
find the line that passes through (2,-5) and perpendicular to x=4
Answers
GPT 3.5
To find the line that passes through (2, -5) and is perpendicular to x = 4, we need to find the equation of the line.
Given that the line x = 4 is vertical (parallel to the y-axis), any line that is perpendicular to it will be horizontal (parallel to the x-axis) and will have an equation of the form y = c, where c is a constant.
Since the line passes through (2, -5), we have y = -5.
Therefore, the equation of the line that passes through (2, -5) and is perpendicular to x = 4 is y = -5.
Given that the line x = 4 is vertical (parallel to the y-axis), any line that is perpendicular to it will be horizontal (parallel to the x-axis) and will have an equation of the form y = c, where c is a constant.
Since the line passes through (2, -5), we have y = -5.
Therefore, the equation of the line that passes through (2, -5) and is perpendicular to x = 4 is y = -5.