Question

Please help. Easy medal.

Find an equation for the line passing through the origin and parallel to the line passing through the points (2,4) and (4,7)

Please.

Answer 1

Wait a sec

Answer 2

Okay.

Answer 3

Okay then let me get this straight there are two lines one of which passes through the origin and the other passes through the coordinates mentioned?

Answer 4

Yes, correct.

Answer 5

First you find the gradient of the line passing through the coordinates mentioned

Answer 6

This gradient is going to be the same for the line passing through the origin

Answer 7

I have never learned about a gradient. Please guide me through that?

Answer 8

Do you know what a slope is?

Answer 9

Do you mean slope?

Answer 10

Slope=gradient

Answer 11

Of course. Yes.

Answer 12

Let me do that first.

Answer 13

Then you find the slope of the line passing through the coordinates mentioned

Answer 14

You will get 3/2

Answer 15

yes. I got 3/2

Answer 16

Nice then the next step
This gradient is equal for the line passing through the origin as these lines are parallel

Answer 17

0=3/2x0+c

Answer 18

You dont need to do the above step but i still did

Answer 19

Oh, I see. Then, I believe I use the slope-intercept formula for the next coordinates? Like y-y1= m(x-x1)? Or..is that incorrect?

Answer 20

So the equation of line should be y=3x/2+0

Answer 21

Just substitute the m and the (0,0) to get the c which we already know is 0 as the line passes through the origin you got your equ.

Answer 22

Ohhh...okay, I understand now.

Answer 23

You can use that formula

Answer 24

I guess it can work, but the way you explained it since the origin is only (0,0) and the slope off of the second coordinates is 3/2 makes it pretty obvious. Thanks very much for your help

Answer 25

Np

Answer 26

Good luck

Answer 27

Thanks.