Question

How do you find the slope of the line perpendicular to the line $x = 10$?

Answer 1

Hint:This question deals with the slope of lines. Perpendicular lines are lines that intersect at right angles. The multiplication of slopes of the two perpendicular lines give -1.That means the slopes of two perpendicular lines are opposite reciprocals. Only the exception is horizontal and vertical lines are perpendicular, if we multiply the slopes of the two lines we will get a slope equal to 0. A horizontal line is defined as the line which runs from left to right on the paper. The slope of a horizontal line is always 0.
The general equation of a line having slope of $m$ and intercepts on the coordinate axis $c$ is $y = mx + c$.We can write the equation of a line perpendicular to a given line if we know a point on the line and the equation of the given line. The slopes of a parallel line are equal and if the two lines are parallel then the slope will be equal and they have different $y - $intercept. A vertical line will have no slope.
Slope is defined as the inclination of the line with horizontal axis. Slope is denoted by $m$.

Complete step by step answer:
Step: 1 The given equation of the line is,
$x = 10$
The line perpendicular to the given line will be parallel to the $x - $axis.
Therefore, the line perpendicular to the given line is a horizontal line so the slope of the perpendicular line will be 0.
Final Answer:
Therefore, the slope of the line perpendicular to the given line will be 0.

Note:
We must use the concept of horizontal and vertical lines. Students are advised to not make any confusion between perpendicular line and horizontal line. They must know to find the slope of perpendicular lines.