What is the slope and equation of a line perpendicular to x=6 through (-3,-7)

a line perpendicular to a vertical line has a slope of m=0, So we know y=-7

What is the slope of a line that is perpendicular to the line that passes through (-2,-2) and (1,3)?

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Find the slope of a line perpendicular to each given line. y=-5/3x+3

the perpendicular slope is the negative reciprocal of the original so it is 3/5 

:)

What is an equation that is perpendicular to y+4=7(x-7)?

y+4=-1/7(x-7) qualifies because (7)(-1/7)=-1

Determine whether the lines are parallel, perpendicular, or neither. 2x-y=-10, 2x+4y=2

m=-A/B 

m1=-2/(-1)=2 
m2=-2/4=-1/2 

They are perpendicular! 

:)

Side AB of rectangle ABCD is contained within the line y = 7x - 9. What is the slope of the adjacent side, BC?

For a rectangle, adjacent sides are perpendicular, therefore 

If a line has a gradient of 5/2 what will the gradient be of a perpendicular line be if a line has a gradient of 5/2? What will the gradient be of a parallel line be?

The slopes of perpendicular lines have a product of -1. So can write: 

 

Parallel lines have the same slope: 

Determine whether the pair of lines is parallel, perpendicular, or neither 3x+y=7, -2×+6y=6

3x+y=7,
-2×+6y=6 
or 
3x+y=7, m=-3
×-3y=-3, m=1/3 
These have have a product of -1 so they are perpendicular 

Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither.

x-5y=15 has 


 



and -5x-y+2=0 has 


 


and so 

 

they are perpendicular 

:)

For the pair of equations, determine whether their graphs are parallel, perpendicular, or neither.

Solution:

The slopes of two parallel lines are equal so these lines are not parallel. the product of perpendicular lines is -1. The product of these slopes is: 
(2)(-1/2)=-1 
Therefore these lines are perpendicular

perpendicular to 3x+4y=12 passes through (3,2)

Your Answer:

has the slope

which is perpendicular to




our given point is (3,2), so using the point-slope form of the equation of a line we get:





:)