Question

What is the slope of a line that is perpendicular to the line y = x + 5?–22

Answer 1

Answer:

-1

Step-by-step explanation:

Here we are given equation of a line and we need to find the slope of the line which is perpendicular to this line.

Here we are going to use the property of lines which says that the product of the slope of the two Perpendicular lines is always negative 1 .

For that we first have to find the slope of the line given to us. If y term is not having 1 as coefficient  with it, the coefficient of the x on the other side of the = is the slope of the line.

Here the coefficient is 1 , and the coefficient of x on right hand side is also 1, thus the slope of the line represented by it is 1

Hence the slope of line which is perpendicular to this line will be negative reciprocal of 1 that is -1

Answer 2

perpendicular slope = - 1

the equation of a line in ' slope-intercept form ' is

y = mx + c (where m is the slope and c the y-intercept)

y = x + 5 is in this form with m = 1

The slope of a line perpendicular to this is

perpendicular slope = - $\frac{1}{m}$ = - 1