Question

Write the Equation of a line.
parallel to 2x-3y=6 and passing
through (-2,5)

Answer 1

I know that parallel means the same slope.

Answer 2

However to get it parallel? I was thinking using y-y1=m(x-x1) ???

Answer 3

yes, do that

Answer 4

so the new line will also have same slope,just find m first and put (x1,y1)=(-2,5) in your equation,and u will get the equation of the line

Answer 5

write your given line in point slope form

3y = 2x - 6

y = 2/3 x - 2

now you have the slope of the line

the general form is

y = mx + b

or in your case

y = 2/3x + b

substitute x and y from your point to find b

Answer 6

y=2x+9?

Answer 7

nope... not parallel

Answer 8

what did u get b as?

Answer 9

Well this is what I did...

Answer 10

slope aint 2

Answer 11

y-5=2(x+2)

Answer 12

rewrite your given line with y as the subject and in slope intercept form

Answer 13

oops I forgot to change it into slope intercept form

Answer 14

if you have 2x - 3y = 6... make 3y the subject...

Answer 15

Okay so I got ... y=2/3x-2

Answer 16

thats correct... what is the slope of the line

Answer 17

The slope is y= 2/3x + 19/3?

Answer 18

thats correct... well done

Answer 19

Thanks everyone!

Answer 20

the only thing you could do is write the equation in the general form

3y = 2x + 19

2x - 3y = -19