Question

help please
Write the equation of the line that is perpendicular to the line y = three halvesx + 4 and passes through the point (-6, 3).

y = three halvesx - 1

y = three halvesx + 3

y = -two thirdsx - 1

y = -two thirdsx + 3

Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6).

y = one thirdx + 7

y = -3x + 3

y = one thirdx + 3

y = -3x + 7

Answer 1

help please

Answer 2

the perpendicular line has the opposite slope of the first one. The slope is the number in front of x: 3/2. Switch it around and you have the start of the perpendicular slope: 2/3. (So the first two answers are out already). Now also alter the sign: -2/3. Now you know the equation must look like y=-2/3 x + some number

All you need to do now is check which of the last two equations includes the point (-6,3). Plug in -6 for x and 3 for y of the equation and let's call 'some number' b .

\[3= - \frac{ 2 }{ 3 } . (-6) + b\]

Now you calculate the value of -(2/3) . 6 and place it at the other side of the = sign (left of it), and you'll get a sum. When you calculate the sum you know what b must be.

\[3=4 + b\]
\[3-4=b\]
-1=b

So the equation should be y=-2/3 x -1

Now try to apply the same principal for the second question

Answer 3

Only this time you must use the parallel equation, which means "same slope". So an equation with the same number in front of x as the given equation.

Answer 4

so for the same slope you have to add both sides and find B ?

Answer 5

for the same slope you just look at the original equation. What number is in front of x in y=-3x+12?

Answer 6

so u do +3 +3 right

Answer 7

i got D for it

Answer 8

Look closer, what sign is in front of the 3 in the original equation?

Answer 9

- sign

Answer 10

yup, so the slope is -3

Answer 11

so that would make it B

Answer 12

which two equations of the 4 have the same slope?

Answer 13

the first and last one

Answer 14

No the first one has a perpendcular slope of 1/3. Which equations have -3 in front of x?

Answer 15

B does

Answer 16

Yeah, B and D... so now we have to find out which of those two is the correct one.

Can you write the equasion where you use -1 for x and 6 for y with the same slope as the original (with -3) and then add +b.

Answer 17

B would be correct bc since the - the 7 could not be right. so D would be wrong.

Answer 18

Yes! Great work! Sorry, but I can't help you further at the moment, Have my own math problems to solve :-)

Answer 19

lol thanxs tho a lot lol i wrote your good notes down