Question

Choose the slope-intercept equation of the line that passes through the point shown and is parallel to the line shown.

line through the points 0 comma negative 3 and 9 comma 0 with a point 6 comma 4 not on the line

y = 3x - 14

y = one thirdx + 2

y = -3x + 22

y = -one thirdx + 8

Answer 1

@hartnn Could you help?

Answer 2

could you find the slope of line , since 2 points are given ??

Answer 3

\(\large m=\dfrac{y_2-y_1}{x_2-x_1}=...?\)

Answer 4

Let me try to out :)

Answer 5

take your time :)

Answer 6

I ended up getting negative one

Answer 7

you too,
x1,y1 = 0,-3
x2,y2 = 9,0
right ?

Answer 8

Yes :)

Answer 9

then you should get m = 1/3
isn't it ?

Answer 10

Wait, I got 1/2

Answer 11

m= (0-(-3))/(9-0) = 3/9 =1/3

Answer 12

Oh, lol I feel dumb.

Answer 13

My eyes just looked all over the page.

Answer 14

So, what is the next step, of there is one, I am kinda confused.

Answer 15

ok, now you have a slope ,m
and take any one point say, x1,y1= 9,0

put those in
y-y1 = m(x-x1)

Answer 16

what u get ?

Answer 17

After I got 1/3, I don't know the next step:/

Answer 18

x1= 9,y1=0
in
y-y1 = m(x-x1)
gives

y-0 = (1/3) (x-9)

Answer 19

I am confused.

Answer 20

where ?

Answer 21

Y-0 = (1/3) (x-9) how did you get that? And where do I go from there

Answer 22

i just plugged in known values in this general formula!
y-y1 = m(x-x1)

Answer 23

Ohh, I see now, where do I go from there?

Answer 24

y-0 = (1/3) (x-9)
y= one third x -9/3
y= one third x-3
thats it

Answer 25

y = 3x - 14

y = one thirdx + 2

y = -3x + 22

y = -one thirdx + 8

Answer 26

Those are my options

Answer 27

and last step is to consider point x1,y1=6,4
because parallel lines have same slope, m= 1/3
so
y-y1 = m(x-x1)
y-4= (1/3) (x-6)

simplify this and you will get the answer :)

Answer 28

Would I simplify it by cross canceling?

Answer 29

y-4 = 1/3 x - 1/3 (6)
y-4 = 1/3 x -2
y= 1/3 x -2+4
y=1/3x+2
like this way ...

Answer 30

Ohh, I might need help with more problems, maybe, but thank you! I think I can get it.

Answer 31

ok, welcome ^_^

Answer 32

Can you help me with slope intercept equation?

Answer 33

y= mx+c
is the slope intercept equation.

Answer 34

Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.

line through the points 0 comma 6 and negative 2 comma 0 with a point 6 comma 2 not on the line

y = one thirdx

y = -one thirdx + 4

y = 3x + 20

y = -3x - 16

Answer 35

the slope of that line again comes out to be 1/3 the same way.
but in this case we need equation of PERPENDICULAR line
so, its slope will be negative reciprocal
so, m = -1/(1/3) = -3

now just plug in given point x1,y1=6,2
in y-y1 = m(x-x1) and simplify

like y- 2 = (-3)(x-6)

can u simplify this ?

Answer 36

Not really, I am so sorry.

Answer 37

y-2 = -3x+18
y=-3x+20