Question

write an equation of the line that passes through the point (-4, -1) and is (a) parallel to and (b) perpendicular to the line 2x + 7y = 14

Answer 1

ok so first you need to put the equation in standard form

Answer 2

y=mx+b

Answer 3

how do i do that?

Answer 4

the equation they give you is 2x+7y=14 so you have to move the y's all to one side
making it
7y=-2x+14

Answer 5

then you have to divide by 7 to get rid of the coefficient in front of the y

Answer 6

so -2/7x + 2?

Answer 7

yes!
now for the next part

Answer 8

it says it first needs to be PARALLEL
do you know what a parallel slope implies?

Answer 9

parallel --> same slope
perpendicular --> negative reciprocal slope

Answer 10

ok

Answer 11

in the equation of a line y=mx+b, m is the slope
so, parallel --> -2/7
perpendicular --> 7/2

Answer 12

with me so far?

Answer 13

yes

Answer 14

(-4,1) are the coordinates so -4=x and 1=y
now all you have to do is plug them both into the equation y=mx+b to find b

Answer 15

for example,
1=(-2/7)(-4) + b

Answer 16

b happens to come out to -1/7

Answer 17

now, you write it as y=-2/7x - 1/7

Answer 18

that's for parallel slope
you have to do it with the negative reciprocal slope if you want perpendicular

Answer 19

so whats the answer for parallel?

Answer 20

nvm i got it

Answer 21

i just wrote it for you above

Answer 22

i didn't seen that post thank you