Question

] Which equation represents the line passing through the point (4, −16) and is perpendicular to the line

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v14/10_19_22.jpg

Answer 2

do you know the relationship between the slopes of perpendicular lines?

Answer 3

the slope of your given line is -2/3. How will the slope of a line perpendicular to this line be related to -2/3?

Answer 4

I dont get ur question very well.... If u are asking about the line perpendicular to the line mentioned above y=- 2/3 x =8 , then in my view, the line perpendicular to this will have the slope= 3/2 ,

Answer 5

correct. two perpendicular line having slopes m1 and m2 have slopes that are related by
\[m_{1}m_{2}=-1\]

Answer 6

@MeganLewis now we have the slope of our line and a point (4,-16) that it must pass through. This is all you need to get the equation of this line. Use point-slpe form.

Answer 7

very well said @eseidl now @MeganLewis Use point slope form to find the required equation of the line.......

Answer 8

@eseidl thank You for ur appreciation . Em new here....

Answer 9

I'm confused..

Answer 10

ok. what part? how we got the slope or you're not sure what point-slope form of a line is?

Answer 11

is the answer y=3/2x-22?

Answer 12

where's the confusion....... ?
and U have to apply y-y1 =m(x-x1).. and the points x1= 4 and y1=-16 and the slope is3/2.. put all the values.

Answer 13

@MeganLewis looks like you made an error somewhere. Show your steps?

Answer 14

the equation of the line will be 3x-2y-44=0 .. now U can arrange it...

Answer 15

maybe I made the error...let me double check.

Answer 16

Yep :0
@MeganLewis your answer is correct, my bad :)

Answer 17

I hope you got this answer yourself though and understand what's going on

Answer 18

Thanks guys!

Answer 19

U're welcome @MeganLewis