Tell whether the lines for each pair of equations are parallel, perpendicular, or neither,

y= -2x+4
-5x+10y=5

Second option.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

It is important to remember the following:

1- The slopes of parallel lines are equal.

2- The slopes of perpendicular lines are negative reciprocal.

Then, given the first equation:

You can identify that:

The second equation is:

Solve for "y":

You can identify that:

Then, since the slopes are negative reciprocal, you can conclude that the lines for the given pair of equations are perpendicular.