what is the equation of the line that is perpendicular to the given line and passes through the point (2…
what is the equation of the line that is perpendicular to the given line and passes through the point (2, 6)?\no x = 2\no x = 6\no y = 2\no y = 6
Answer
Explanation:
Step1: Identify the given line
The given line is a horizontal line (y = - 4) (since all points on the line have (y)-coordinate equal to (-4)).
Step2: Determine the slope of the perpendicular line
The slope of a horizontal line is (m_1=0). The slope (m_2) of a line perpendicular to a horizontal line is undefined. A line with an undefined slope is a vertical line.
Step3: Find the equation of the perpendicular line
A vertical line passing through the point ((2,6)) has the equation (x = 2) (because all points on a vertical line have the same (x)-coordinate).
Answer:
(x = 2)