Question

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

Answer 1

the equation has the same gradient so its

y = -3x + b

substitute x = -1 and y = 6 to find the value of b

Answer 2

6=-3(-1)+b

Answer 3

-3

Answer 4

Parallel lines have equal slope..

So, from the equation given find slope that comes out to e -3..

So the other line will have slope = -3


Now use:

\[\large y - y_1 = m(x-x_1)\]

Answer 5

here y1 = 6 and x = -1 and m = -3

Answer 6

y-6=-3(x+1)

Answer 7

Absolutely..

Answer 8

Now distribute -3 inside..

Answer 9

y-6=-3x-3

Answer 10

Yes..

add 3x both the sides because you have to bring x and y on left side..

Answer 11

is the answer y=-3x+3

Answer 12

Which form in you want to write??

Answer 13

y=mx+b

Answer 14

Then you are right....

Well Done..

Answer 15

thanx

Answer 16

can you give the other person a medal to

Answer 17

Getting how we did it???

Answer 18

yes

Answer 19

I will..

Because he is a person which deserves medal everywhere...

Answer 20

Welcome dear..

Answer 21

*who in place of which..

My English is really weak..

Answer 22

thanx to both of you

Answer 23

Remember in case when lines are perpendicular then we find the slope of first..

To find the other:

remember their slopes are negative reciprocal of each other..

So, if one has a slope of -3, then other will have: \(\large \frac{1}{3}\)

Getting??

then use the same concept..

Answer 24

yes i'd work it the same way right.

Answer 25

Great..

Take care..