Question

Can someone teach me how to solve this?

http://prntscr.com/bdiwbs

Answer 1

are you familiar with the slope formula?

Answer 2

a bit

i also have th same problems in standard form too

Answer 3

does this formula look familiar?

Answer 4

yes

Answer 5

http://www.sprinklernewz.us/assets/slopeformula.jpg

Answer 6

(it's just an image don't worry)

Answer 7

yes! i just did that a few lessons ago

Answer 8

ok, so we pick one point to be

(x1,y1)
and another point to be (x2,y2)

Answer 9

our first point is

(-4,-1) meaning that x1 = -4 and y1 = -1

Answer 10

okay

Answer 11

and our second point is

(1 and a half,2)

meaning that

x2 = 1.5 and y2 = 2

Answer 12

now we plug all those numbers into our slope formula

Answer 13

alright

Answer 14

y2 - y1 = 2 - (-1) = 3
x2 - x1 = 1.5 - (-4) = 5.5

Answer 15

3/5.5 is the same as 30/55 which equals 6/11

Answer 16

so our slope is 6/11

Answer 17

and only one of the answer choices has a slope of 6/11. which one do you think it is?

Answer 18

well there is one more it got cut off

Answer 19

y-1 = 6/11 ( x - 4)

Answer 20

oh well then we use our point slope equation

Answer 21

now we pick x1 = -4 and y1 = -1

Answer 22

so it would be the first one because its y+1 and not y-1

Answer 23

yes very good!!

Answer 24

how would i do it in standard form though?

Answer 25

http://prntscr.com/bdj1h9 @Vocaloid

Answer 26

start with what we got last time

Answer 27

y+1 = 6/11 ( x + 4)

multiply both sides by 11

Answer 28

11y + 11 = 6(x+4)

and then isolate y

Answer 29

**actually don't isolate y

Answer 30

just combine like terms

Answer 31

any ideas from here?

Answer 32

no this is honestly not making sense

Answer 33

well, let's go back to the beginning

Answer 34

we have the equation y+1 = 6/11 ( x + 4) from the earlier problem

Answer 35

to get rid of the denominator, we multiply by 11

Answer 36

to get 11y + 11 = 6(x+4)

with me so far?

Answer 37

yes