Question

What is an equation of the line that passes through the point (6,6) and is parallel to the line 3x−2y=4

Answer 1

Fraction: y= 3/2x-3

or

Decimal: y= 1.5x-3

Explanation:

Turn 3x-2y=4 into y=mx+b form

Subtract 3x from both sides

-2y=4-3x

Divide -2 from both sides

y= -2+3/2x

y= 3/2x-2

Since the line is parallel, use slope 3/2

Put point (6,6) into equation to find b

6=3/2(6) + b

6=9 + b

-3 = b

Put into equation

y= 3/2x-3