Which of the following equations represents a line parallel to 3x - 2y = 6?
Show answer & explanation
Correct answer: A
Explanation
Given:
Line = 3x − 2y = 6
By the formula:
The slope of ax + by + c = 0 is m = −a/b
Parallel lines have the same slope.
3x − 2y = 6
−2y = −3x + 6
y = (3/2)x − 3
m = 3/2
A line with the coefficients of x and y in the same ratio as 3 and −2 is parallel.
Options:
3x − 2y = 10