Question

what is the equation of a line passing through (-8, -3) and having a slope of
-4? can someone walk me through it

Answer 1

For this problem you're gonna have to use point-slope form. Do you know what that is?

Answer 2

yea its y-y1=m(x-x1)

Answer 3

y1 would be -3? and x1 be -8

Answer 4

yep

Answer 5

and the slope would be?

Answer 6

okqy slope of -4 but they want this in y=nx+b

Answer 7

*m

Answer 8

so how do i do that ?

Answer 9

so fill in what you know into point-slope

Answer 10

that makes no sense to me how do i go from point slope to y=mx+b

Answer 11

just fill it in, and we'll go from there. You cannot just put in a y-int, you don't have it. So you have to solve for it

Answer 12

y=-4x+ how do i solve to get b

Answer 13

no, fill in POINT-SLOPE form, not slope-int

Answer 14

y-3=-4x-3

Answer 15

what happened to the -8?

Answer 16

y--3=4x+8

Answer 17

no, one step at a time

Answer 18

rewrite it with just the variables filled in

Answer 19

okay y--3=-4x-8

Answer 20

no, it's "m(x-x1)" not " mx-x1"

Answer 21

y--3=-4(x-8)

Answer 22

correct, (just rewrite "y--3" as "y+3). so now distribute the -4

Answer 23

y+3=-4x+32

Answer 24

yeah! now isolate the Y.

Answer 25

y=-4x+29

Answer 26

correct!

Answer 27

but there is no -29 as an answer choice

Answer 28

although, looking back, you could have left it in point-slope form

Answer 29

It doesn't ask for a particular form

Answer 30

so, you're done!

Answer 31

= −4x + 20B. y = 4x + 20C. y = −4x – 35D. y = 4x – 35E. y = -4x + 4

Answer 32

here are the answer choices

Answer 33

rechecking, you did one part wrong. redistribute the -4

Answer 34

ok so what did i do

Answer 35

redistribute the -4. see what you get

Answer 36

im still getting -32

Answer 37

that's right, but what else do you have? rewrite your formula that you get right after you distribute

Answer 38

or do i distrubute to the other side to

Answer 39

just rewrite your equation

Answer 40

y=4x+20

Answer 41

no, the equation as right after you distributed the -4

Answer 42

y--3=-4x-32

Answer 43

again, make sure to rewrite the "y--3" as "y+3". but next, to isolate the y, what do you do?

Answer 44

add 3 to both sides

Answer 45

no, this is why it's important to make the 2 negatives a positive. when you have "y+3..." you have to SUBTRACT the 3 to isolate y

Answer 46

so it would be y=-4x-35?

Answer 47

yes!

Answer 48

thank you !

Answer 49

welcome! make sure to hit "best response"! it helps!