Question

Write an equation in slope-intercept form of the line satisfying the given conditions: is perpendicular to 4y=3x-8 and passes through (0,-6)

@xxyyxyyx

Answer 1

the slope of a line that is perpendicular to another line is the negative reciprocal of that line

Answer 2

first write the given equation in slope intercept form, so simpifying you will get y=3/4x-2

Answer 3

an example of that is if slope = 2, then the slope of a perpendicular line is -1/2

Answer 4

since you know from point intercept formula: y=mx+c, m = slope of the line, comparing the above simplified equation you can see m = 3/4

Answer 5

so the slope of the above line is 3/4

Answer 6

but the new line that we need to write the eqation of is perpendicular to the above line

Answer 7

there is a formula for the slope of perpenicular lines. m2= -1/m1

Answer 8

where m2 is the slope of the perpendicular line, and m1 is the slope of the given line

Answer 9

so inputting the values we get. m2= -1/(3/4)

Answer 10

so m2= -4/3

Answer 11

so every perpendicular line is the opposite and the reciprocal? like for example...
-1/3 → would become, if perpendicular, → 3/1 or 3....
is that what you mean?

Answer 12

Now you have the slope of the perpendicular line. you can write the euation of the line like in the previous question

Answer 13

y-y1=m(x-x1)

Answer 14

since this time you only have one point given in the question (0,-6) input them and simplify

Answer 15

and rearrange and write the answer in y=mx+c form

Answer 16

so you will get y-(-6)=-4/3(x-0)
y+6=-4/3x
y=-4/3x-6

Answer 17

yup parallel lines will have same slope. m2=m1

Answer 18

and perpendicualar lines will have m2=-1/m1

Answer 19

negative reciprocal of the given line

Answer 20

wait.. shouldn't the perpendicular lines have m2=-1/m?

Answer 21

be***, not have***

Answer 22

yes

Answer 23

oh.... sorry, you could continue...

Answer 24

negative reciprocal of the given line...

Answer 25

yes m2=-1/m1 means m2 = negative reciprocal of m1

Answer 26

where m1 is the given line

Answer 27

okay...although this is sorta confusing.....it's hard to explain where it is confusing, it just is... oh phooey

Answer 28

k let me know if you have other stuffs

Answer 29

anyway, i get it now, after a few tweeks and fr-leeks. thanks so much! you're the best! medal rewarded x2!!!! thank you!

Answer 30

your welcome. what does the medal do btw.

Answer 31

hmm...i'm not really sure. it's sort of a "thank you" kind of thing. it also helps you raise your level (:
LOL sorry for the late response.