Question

Choose the slope-intercept equation of the line that passes through the point (-2, 2) and is parallel to y = 4x + 7

Answer 1

parallel lines have the same slope

in this case the slope for y = 4x + 7 is 4

so m=4
(x1,y1)=(-2, 2)

so use point slope form

y-y1=m(x-x1)

Answer 2

so its y = -4x - 6?

Answer 3

@RyanL.

Answer 4

No it's not/

first just plug in the values you know first ....

Answer 5

let's do this one step at a time....first plug the values in....

Answer 6

y=1 and x=2 (im sorry i just dont get it

Answer 7

where did you get y=1 and x=2 from?

Answer 8

sorry mistype, cuse (-2, 2) that meaans y=-2 and +=2

Answer 9

Ok we have the equation in point slope form

\[y-y_1=m(x-x_1)\]
\[m=6\]
we don't know what x and y are and we will never know.

so that leaves us with \[x_1 \]and\[y_1 \]

we know our point \[(-2,2)\]
which is the same as \[(x_1,y_1)\]

that means that\[x_1=-2 \\ y_1=2\]

Answer 10

m=4

Answer 11

So now we have all the information so we do is plug in first.\[y-y_1=m(x-x_1) \\\]\[m=4\\x_1=-2\\y_1=2\]

Answer 12

m=4 is first

Answer 13

yes

Answer 14

I fixed it for the last post I made sorry about that.

Answer 15

its fine

Answer 16

\[y-2=4(x+2)\]

all you have to do now is simplify this and you are done.

Answer 17

THANK YOUUUUU!!!!!!!!!!!!!

Answer 18

how do you simplify that tho? @RyanL.

Answer 19

solve for y

Answer 20

ok let my do that, thanks again @RyanL.

Answer 21

if you are going ot simplify__
i am going to give a little shortcut you do not have to worry about y- y1 or x1 -x

just remember-
parallel lines have same slope so
y = 4x + b jsut plug in your x and y given
2=4(-2) + b
solve for b
and then plug that back in
y=4x+b(the b you solved for)

Answer 22

ok ill do that thanks @zpupster