Question

Write parametric equations of the line with the equation 4x - y = -12.

* - y

+ 3

WIN

x = 1, y =

4 x=-1=1+2

-* +

3

Answer 1

(x, y) = (t -3, 4t)

Explanation:

Here's one way to do it.

Write the equation in slope-intercept form, then factor.

y = 4x +12

y = 4(x +3)

Now, define ...

t = x+3

x = t -3 . . . . . solve for x

Substitute t in the equation for y:

y = 4t

Now, our parametric equation is ...

(x, y) = (t -3, 4t)