1 Answer

TTCG · Answer 1 · 2020-10-23T17:43:29+0000

We may start by putting the given equation in slope-intercept from:

$3x-2y = 8 \iff 3x - 8 = 2y \iff y = (3)/(2)x-4.$

We can now easily identify the slope:

m = (3)/(2).

Since parallel lines have the same slope (as you already seem to know), any line with equation

$y = (3)/(2) + b, \quad\textrm{with } b \in \mathbb{R},$

is parallel to the given line. By choosing, for instance,
b = 0 , we get:

$\boxed{y= (3)/(2)x}.$

Please log in or register to add a comment.