SOLUTION: write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided or upload a file th

Question 970281: write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Found 3 solutions by Fombitz, stanbon, Boreal:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.

Use the point slope form of a line,

.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
----
The given equation has slope = 1
Any line perpendicular to it must have slope = -1
------
Form:: y = mx + b
Solve for "b":
2 = -1*2 + b
b = 4
------
Equation:
y = -x + 4
------
Cheers,
Stan H.
------------

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Lines that are perpendicular to one another have slope products=-1
y=x has a slope of 1
Therefore, the other line perpendicular to it has slope (-1)
Point slope formula
y-y1=(-1) (x-x1) ; the -1 slope is visible.
use the point (2,2)
y-2= (-1) (x-2)
y-2= -x +2 ; (-1) (-2) =+2
add 2 to both sides
y=-x +4
The lines don't look exactly perpendicular, because the tick marks are not the same length on both axes.
RELATED QUESTIONS
What is the equation of the line described below written in slope-intercept form? the... (answered by TimothyLamb)
What is the equation of the line described below written in slope-intercept form? the... (answered by TimothyLamb)
passing through (6, -3), and perpendicular to the line whose equation is x - 3y - 2 = 0... (answered by mananth)
passing through (-9,2) and perpendicular to the line whose equation is... (answered by Maths68)
Write an equation of a line passing through point(-1,9) and perpendicular to the line... (answered by Maths68)
What is the equation of the line described below written in slope-intercept form? the... (answered by josmiceli)
Use the given conditions to write an equation for each line in point-slope form.... (answered by lwsshak3)
Use the given conditions to write an equation for each line in point-slope form.... (answered by Cromlix,Fombitz,anand429)
I need help with the equations. Find the equation of the line given the following... (answered by ikleyn,Theo)
Write the equation of a line perpendicular to y=4x-2 and passing through the point (4,2) (answered by checkley71)