Question

Select the equations that are parallel and perpendicular to y = 1/4x + 7 and that pass through the point (-8, 9).

Answer 1

what do you know about perpendicular slopes?

Answer 2

they're the same

Answer 3

parallel lines slopes are the same..

perpendicular lines slopes are opposite reciprocals (do you know what that means?)

Answer 4

not really

Answer 5

opposite mean different sign
reciprocal means to take a fraction and flip it upside down

3/4 the opp rec would be -4/3

I changed the sign and the flipped it

Answer 6

can you find an equation of a line if you have a slope and a point?

Answer 7

no

Answer 8

there are 2 ways to do it, one with point slope formuia and the other with y = mx + b

they are both about the same amount of work....do you know how your teacher wants you to do it?

Answer 9

it was just asking to show the parallel and perpendicular way to do it.

Answer 10

right there will be 2 answers one equation will be parallel and the other perpendicular.

Answer 11

lets start with parallel
do you recognize y = mx + b?

Answer 12

yes

Answer 13

what does the m stand for?

Answer 14

slope

Answer 15

b is y- intercept

Answer 16

right.... we have a slope what is parallel to the equation in the problem
remember (same slope parallel)

Answer 17

1/4

Answer 18

so we put that into our formula y = mx + b
y = 1/4x + b

if they gave us a y inercept, we could just plug it in, but they didnt (punks)
luckily they did give us an (x,y) do you see it in the problem?

Answer 19

yes

Answer 20

so lets plug that in 9 = 1/4(8) + b

now all you have to do is find the y intercept by solvig for b
do you know what you would do first?

Answer 21

opps that was supposed tobe a -8 9 = 1/4(-8) + b

Answer 22

oh

Answer 23

9 = 1/4(-8) + b
9 = -2 + b
+2 +2
11 = b now stick that b in our formula y = 1/4x +11
does this make sense?

Answer 24

oh

Answer 25

yeah