Question

Choose the equation of the line passing through the point (6, -2) and parallel to y = x + 7.

Answer 1

to be parallel it needs to have the same slope

Answer 2

so you know that the slope is 1, formula y = mx + b, where m = slope

Answer 3

now find value of b, by substituting the point (6,-2) on the formula

Answer 4

I don't know how....

Answer 5

@ivettef365

Answer 6

you have formula y = mx + b , where y = -2, x =6 and m = 1, find b

Answer 7

I still don't understand.

Answer 8

I think the formula is y = mx + c

Answer 9

@ivettef365

Answer 10

the letter are irrelevant to find the equation of the line
anyways, you have
-2 = (1)(6) + b
can you solve for b ??

Answer 11

I litterally don't understand how to do anything... @ivettef365

Answer 12

that is algebra,
-2 = 6 + b
-6 -6
-------------
-8 = b

Answer 13

so since you know the value of be you can write the equation of the line as
y = x -8

Answer 14

So is that the answer ? @ivettef365

Answer 15

yes, the question ask for the equation of the line, that passes through those points

Answer 16

Which of the following is the slope between the points (0, -10) and (-4, 0)? Do you understand this one ? @ivettef365

Answer 17

you use the slope formula
y2 - y1
m = ----------
x2 - x1

Answer 18

you have x1, y1 x2, y2
( 0, -10) (-4, 0)

Answer 19

Now what ? @ivettef365 :ooooo This is hard -.-

Answer 20

just plug in on formula

Answer 21

0 - (-10)
-------
-4 - 0

Answer 22

what do you get?

Answer 23

NOTHING in this chapter... lol @ivettef365

Answer 24

I mean what do you get on that equation that I wrote

Answer 25

Nothing @ivettef365

Answer 26

that is equal to 10/-4
after you simplify it is equal to -5/2
that is the slope

Answer 27

Choose the equation of the line passing through the point (-4, -2) and perpendicular to y = -x + 6 ?

Answer 28

@ivettef365

Answer 29

to be perpendicular the slope needs to be opposite reciprocal
you have slope of -1, opposite reciprocal would be 1

Answer 30

then you have y = mx + b, where y = -2 and x = -4, now you try to solve for b

Answer 31

I dot know how @ivettef365

Answer 32

try, you have y = mx + b
-2=(1)(-4) + b

Answer 33

do you see what I did ???

Answer 34

noo @ivettef365

Answer 35

the formula is y = mx + b
I substitute the y for -2, the m for 1 and the x for -4, can you see that

Answer 36

yes @ivettef365

Answer 37

ok now solve for b, you have
-2 = 4 + b
-4 -4
-------------
-6 = b

Answer 38

now that you now the slope = 1 and b = -6
can you write the equation ?

Answer 39

noo @ivettef365

Answer 40

you have y = mx + b , wher (x,y) could be any points, that is why you don't give a value to it, therefore the equation of the line would be
y = x -6 (where 1 is the slope, x = 1x and -6 is the b which is the y-int

Answer 41

Sothat the answer ? @ivettef365

Answer 42

yes

Answer 43

Choose the equation of the line passing through the point (-3, -1) and perpendicular to y = 1/2x + 3

Answer 44

@ivettef365

Answer 45

what is the slope

Answer 46

1/2

Answer 47

@ivettef365

Answer 48

very good, so now what is the opposite reciprocal of 1/2

Answer 49

2/1 ? @ivettef365

Answer 50

Very good, but it is -2/1 which is equal to -2

Answer 51

now that you know the slope to be perpendicular let use the formula
y = mx + b, you have points (-3,-1) and you know slope is -2
so how would you write it

Answer 52

-1=-2X+-3 ? @ivettef365

Answer 53

almost, y = mx + b y= -1, x=-3, and m = -2 (slope) b is what we need to find
so try again

Answer 54

-1=-2X... IM LOST @ivettef365