Question

What’s the slope of $x = - 4?$

Answer 1

Hint : In any linear equation, m is the slope and b is the y-intercept and this equation is known as the slope-intercept equation. Here will find the slope and intercept value for the given equation and by comparing it in the form of the standard equation, $y = mx + b$

Complete step-by-step answer :
Always remember the standard form of the linear equation, slope and intercept equation as the y intercept depends on the standard equation. Also be careful about the sign convention of the linear equation. Here the given expression was already in the standard form so it was easy to compare else first convert it in the standard form.
Given expression: $x = - 4$
Compare the given expression with the standard form, $y = mx + b$
When you move any term from one side to another then the sign of the term also changes. Positive terms become negative and vice-versa. Given equation can be re-written as -
$0y = x + 4$
It can be re-written as –
$0y = 1x + 4$
By comparing with the standard equation -
Slope is undefined as the value of y is zero.

Note : Always remember that the slope of two perpendicular lines is always minus one whereas the slope of two parallel lines is equal and same. Parallel lines can be defined as the two lines which are in the same plane and are at equal distance from each other and they never intersect each other whereas the lines which intersect each other at ninety degree are known as the perpendicular lines.