SOLUTION: Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 12x + 4y = 16 5y

SOLUTION: Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 12x + 4y = 16 5y - 22 = -15x

Question 166498: Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
12x + 4y = 16
5y - 22 = -15x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First let's solve for "y" of the first equation

Start with the first equation.

Subtract from both sides.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

So the equation is now in slope intercept form where the slope is and the y-intercept is note: the y-intercept is the point

Now let's solve for "y" of the second equation

Start with the second equation.

Add to both sides.

Divide both sides by to isolate .

Break up the fraction

Reduce

So the equation is now in slope intercept form where the slope is and the y-intercept is note: the y-intercept is the point

--------------------------------------

So the slope of the first equation is and the slope of the second equation is

Since the two slopes are equal, this means that the two lines are parallel.
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