Question

Write parametric equations of the line with the equation 4x-6y=-12 HELP FAST

Answer 1

Answer:

x = 3t

y = 2 + 2t

Step-by-step explanation:

Use any two points on the line:

Using intercepts would be easy

4x - 6y = -12

(-3,0) and (0,2)

Make a vector connecting these two: < 0 - -3, 2 - 0>

Direction vector: < 3, 2 >

Let the parameter be 't'

x = 0 + 3t

x = 3t

y = 2 + 2t

Answer 2

Answer: x = t, y = 2t/3 + 2

Step-by-step explanation:

You want to write both x and y in terms of t

so if you rearrange 4x - 6y = -12 you get

-6y = -4x - 12

6y  = 4x + 12

y = 2x/3 + 2

set x = t

and y = 2t/3 + 2

and that's it!

another one you could do is

x = t/2

y = t/3 + 2

or even

x = 3t/2

y = t + 2

i like this one the most because it looks more elegant