Answer:
perpendicular lines
Step-by-step explanation:
First, put both equations into slope-intercept form.
Lets start with 10x - 2y = 16
Remember that the slope intercept formula is y = mx + b
So, we must get y alone on one side.
First, subtract 10x from both sides
10x - 2y = 16
-2y = -10x + 16
Now, divide both sides by negative 2
y = 5x - 8
Now for our second equation.
First we must subtract x from both sides
x + 5y = -20
5y = -x - 20
Now, divide both sides by 5
y = -1/5x - 4
Now, both of our equations are in slope-intercept form
Here's how to determine if two equations are parallel or perpendicular
Remember that the m in y = mx + b is our slope
Parallel = same slope
Perpendicular = negative reciprocal slope
(ex: take the number 6 take the number -3
negative reciprocal = -1/6 negative reciprocal = 1/3)
If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)
So, these two lines are perpendicular. :)
