# What is the slope of a line perpendicular to the line whose equation is x - y = 5. Fully reduce your answer. Question
Functions What is the slope of a line perpendicular to the line whose equation is x - y = 5. Fully reduce your answer. 2020-10-27
Perpendicular lines have slopes that are negative reciprocals. First, we write the given equation in slope intercept form by solving for y:
x−y=5
x−5=y
or
y=x-5
So, the slope of the given line is 1 which means that the slope of the line perpendicular to it is:
$$\displaystyle-{\left(\frac{{1}}{{1}}\right)}=-{1}$$

### Relevant Questions What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer. Delia purchased a new car for \$25,350. This make and model straight line depreciated to zero after 13 years. Determine the slope of the depreciation equation. Find an example of a point (x,y) on the graph of f(x)=2cos(x) where the tangent line has a slope of exactly 1. Find an example of a point (x,y) on the graph of f(x)=2cos(x) where the tangent line has a slope of exactly 1. Which of the following is an equation of the line that has a y-intercept of 2 and an x-intercept of 3?
(a) -2x + 3y = 4
(b) -2x + 3y = 6
(c) 2x + 3y = 4
(d) 2x + 3y = 6
(e) 3x + 2y = 6 Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point. $$f '(x)=5(2x − 1)^{4}, (1, 9)$$ Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point. $$\displaystyle{f} '{\left({x}\right)}={5}{\left({2}{x}−{1}\right)}^{{{4}}},{\left({1},{9}\right)}$$ The point E(-7,-24) lies on the circle whose equation is $$\displaystyle{x}²+{y}²={625}$$. If an angle is drawn in standard position and its terminal ray passes through E, what is the value of the sine of this angle?
(1) -7
(2) -7/24
(3) -24
(4) -24/25 Show that the inverse of any linear function $$f(x)=mx+b$$, where $$m\neq 0$$, is also a linear function. Give the slope and y-intercept of the graph of f-1 in terms ofm and b. 