Question

Choose the equation below that represents the line that passes through the point (-2, 6) and has a slope of 4.

y - 2 = 4(x + 6)
y - 6 = 4(x + 2)
y + 2 = 4(x - 6)
y + 6 = 4(x - 2)
I need someone to explain :(

Answer 1

general equation line in point slope form is
\[\Large y-y_{0}=m(x-x_{0})\]
ok let me give you an example
if a line passes through (-5,-2) with slope 5 then the line will be
\[\Large y-(-2)=5(x-(-5))\]
oR
\[\Large \implies y+2=5(x+5)\]

can you find it now !!!

Answer 2

@pam142 can you find it now?

Answer 3

yes thank you i am trying now

Answer 4

ok i am here. when you find it out let me know your answer !

Answer 5

I don't get this :'(

Answer 6

so it's
y-6=-2(x+4)

Answer 7

no it's y-6=4(x-2) :D

Answer 8

sorry !!
you missed that slope is =4 you used -2 at the place of slope .
y-6=4(x-(-2))
y-6=4(x+2)!

Answer 9

OH so it's plus two because negative times a negative I get it

Answer 10

so it is ok now !?

Answer 11

Yeah thanks! uhm do you think you can help me with another one?

Answer 12

yeah sure !

Answer 13

Which of the following equations is written in slope-intercept form?

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

Answer 14

ok let me tel you general form of slope intercept form, it is
\[\Large y=mx+C\]
can you figure it out which one is in point slope form ?

Answer 15

the third one?

Answer 16

yes you are right ..well done.

Answer 17

thank you!

Answer 18

you 're welcome:)