Question

write the equation of the line that is parallel to a line containing (2,-5),(7,1) through (5,3) Steps so i can learn or explain

Answer 1

Alright so this lone you speak of it has to be parallel to another line right

Answer 2

Line*

Answer 3

yea

Answer 4

Find the gradient of the original line

Answer 5

The gradient of the parallel line will be the same

Answer 6

how to do that ?

Answer 7

Then you can find the equ. Of line of the parallel line using the coordinates of the point through which the parallel line passes through

Answer 8

You dont know how to find the gradient of the original line?

Answer 9

Gradient is sometimes called slope.

Answer 10

And thus it shall be

Answer 11

You know how to find slope

Answer 12

okay i found it to be -4/-5 which will be 4/5 right ?

Answer 13

Yup

Answer 14

so it will be y=4/5x+b

Answer 15

Yup

Answer 16

thanks

Answer 17

Dude the gradient of the line is 6/5

Answer 18

Not 4/5

Answer 19

and 6/5 will be Y=6/5x+b ?

Answer 20

1-(-5)=6

Answer 21

Yup

Answer 22

But remember you have to find the value of b too

Answer 23

how to find the value of b ?

Answer 24

As i said before pnce you get y=6/5x+b substitute the values of x and y by (5,3)

Answer 25

Once*

Answer 26

b should equal 3 ?

Answer 27

-3

Answer 28

my answer should be y=6/5x+ -3b

Answer 29

Lets hope so

Answer 30

thankz

Answer 31

Good luck

Answer 32

Where did the "b" in your equation come from?

Answer 33

The y intercept

Answer 34

In other words magic

Answer 35

b represents the y-intercept when the equation written in slope-intecept form, but it is only a placeholder. The "b" is usually not written in the equation.

Answer 36

whaaaaa?

Answer 37

your saying using another variable is used in the place of b

Answer 38

cause if thats the case i usually use c instead of b

Answer 39

The answer is \(y=\frac{6}{5}x-3\) not \(y=\frac{6}{5}x-3b\)

Answer 40

ohh ya actually now that you mention it...

Answer 41

there should be no b