# How do you tell whether the lines for each pair of equations are parallel, perpendicular, or neither: #y=(-1/5)x+6, -2x+10y=5#?

##### 1 Answer

They are neither parallel nor perpendicular.

#### Explanation:

Given -

#y=(-1/5)x+6# -------------------------(1)

#-2x+10y=5# ---------------------------(2)

The first line equation is in the slope intercept form

#y=mx+c#

The slope

The second line is in the form

#ax+by=c#

In this case, slope is defined by

Applying this formula, the slope

Then apply these conditions to decide the types of relation between the two lines.

If

If the product of

Otherwise, the two lines are neither parallel nor perpendicular.

In our case

Hence they are neither parallel nor perpendicular.