Question

I been stuck on this question forever so pls help me someone!
is math
We have to write the slope-intercept for the equation?
this is the problem
through: (3,2), parallel to y=x+2
i know that it starts like
y-2=
but then is it 1/1(fraction?
im confused
@satellite73 @misty1212 @inkyvoyd

Answer 1

when a line is parallel to another line then both of them have equal slopes

Answer 2

okey so it is 1/1 right since theres not a fraction @madhu.mukherjee.946

Answer 3

yeah

Answer 4

parallel to y=x+2

you match that equation with the form y=mx+b
y= x+2
y= mx+b

it looks like b matches with 2, so 2 is the y-intercept
what is the slope "m" ?
if you see x by itself, you can think of it as 1*x (one times x)
now it is more clear:
y=1x+2
y=mx+b

the slope m matches with 1
so the slope is 1

now you can use the point slope formula
y-y0= m(x-x0)

where m is the slope and (x0,y0) is a point

in this problem, m is 1 and the point is (3,2)
you write:
y-2 =1(x-3)

1 times (x-3) is (x-3)
(or you could "distribute" the 1 to get 1*x - 1*3 which is x-3
either way you get
y-2=x-3
now add +2 to both sides to get
y=x-3+2 or

y= x-1
as the equation in slope-intercept form