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What is the slope of a line parallel to the line whose equation is 2x−3y=6 ?

A. 1/5
B. 2/3
C. 3/3
D. 4/3

User Sharnell
by
3.1k points

2 Answers

4 votes
2x-3y=6
3y=2x-6
y=2/3x-2
Slope = 2/3

Therefore B
User Amrit Trivedi
by
4.2k points
4 votes

Answer:

B. 2/3

Explanation:

Parallel lines have the same slope

We need to find the slope of the given line

2x-3y =6

Solve for y

Subtract 2x from each side

2x-2x-3y =-2x+6

-3y = -2x+6

Divide each side by -3

-3y/-3 = -2x/-3+6/-3

y = 2/3 x -2

This is in slope intercept form(y =mx+b) where m is the slope and b is the y intercept

The slope is 2/3

User Nifriz
by
3.5k points