Question

What is the slope of a line parallel to 6y - 12x = 24?

Answer 1

Answer: 2

Step 1: Turn this equation into slope-intercept form

6y -12x =24

*add 12x on both sides*

6y-12x=24
+12x +12x
_________
6y=12x+24

*divide each number/coefficient by 6*

6y=12x+24
/6 /6 /6
________
y=2x+4


When an equation is parallel to another it has the same slope but a different y-intercept. The slope will remain 2, but if solving for the whole equation the y-intercept will change.

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Answer 2

Explanation:

6y - 12x = 24

6y = 12x + 24

y = 12x/6 + 24/6

y = 2x + 4 ( it is now in the form y = mx + c}

m = 2

the slope of a line parallel to 6y - 12x = 24 is m = 2

Parallel lines have same slope