Question

What is the slope of a line parallel to y-2 = 4(x+1)?

Answer 1

@Colcaps Can you put this in the slope intercept form of a line?
\[y=mx+c\]
m= slope
c= y intercept

Answer 2

Isnt it y-mx+b? @ash2326

Answer 3

y=*

Answer 4

Set of hints:
Slope of this line =4
Slope of this line parallel to this is=?

Answer 5

That's same thing, just b is used to denote intercept

Answer 6

Wait, slope = rise/run so what do I basically have to solve in here? Ill try y= y-2 and 4x and c = 1?

Answer 7

You have to open the bracket on the right and bring 2 on the right. Just simplification and we'll have slope of this line

Answer 8

y-2 = 4(x+1)

y=4x+2?

Answer 9

\[y-2=4x+4\]
\[y=4x+4+2\]
So we'd get?

Answer 10

Where did the "4" in the middle came from?

Answer 11

4(x+1)=4x+4

Answer 12

So you replaced y with 4?

Answer 13

We have
\[y-2=4(x+1)\]
\[y-2=4\times x +4\times 1\]
\[y-2=4x+4\]
Now add 2 to both the sides
\[y-2+2=4x+4+2\]
\[y=4x+6\]

Answer 14

Do you understand now?

Answer 15

Oh so you just multiplied 4 with (x+1)

Answer 16

yes

Answer 17

So what's the slope of the line?

Answer 18

Wait, I got confused in 2 to both sides

Answer 19

You added 2 to "y−2?

Answer 20

y-2=4x+4
Add 2 to both the sides
y=4x+6

or bring to 2 other side
y-2=4x+4
y=4x+6
Same thing

Answer 21

OH! 4+6 because you transposed 2 to the other side

Answer 22

yes, 4x+6

Answer 23

4x+6 , so we divide it by 4x to cancel out?

Answer 24

nope, we won't divide now

Answer 25

y=mx+b
and
y=4x+6
so what's m here?

Answer 26

4 is m

Answer 27

and 4 is the slope

Answer 28

So 4 is the slope of this line, what would be the slope of a line parallel to it?

Answer 29

Then the parralel linw ould be identical to the other line

Answer 30

So its still 4

Answer 31

yes, identical only with respect to slope, not intercept may or may not be same

Answer 32

But the slope of the parralel line is 4?

Answer 33

yes, that's right.

Answer 34

Cant it be 1/4?

Answer 35

nope, it can't be it has to be same

Answer 36

I see, Thanks Ash!

Answer 37

Do you want to understand how this works?

Answer 38

Alright then

Answer 39

Suppose we have line A with slope m1

Answer 40

slope is m1
\[m1= \tan b\]
do you know this? slope is the tangent of the angle made with respect to x axis

Answer 41

I didnt listen to my class when we discused that

Answer 42

But yes i understand that

Answer 43

so if a line is parallel with respect to A, say B
What would be this angle's value?