Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y=-2x+4
-5x+10y=5
a: parallel
b: perpendicular
c: neither

tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y=(-1/5)x+6
-2x+10y=5
a: parallel
b: perpendicular
c: neither

 The correct options are

(1) (B) parallel

(2) (C) neither.

Step-by-step explanation:  We know that two straight lines are

(i) parallel, if they have equal slopes,

(ii) perpendicular, if the product of their slopes is -1.

Also, the slope-intercept form of the equation of a straight line is

where m is the slope.

(1) We are given to check whether the following lines are parallel, perpendicular or neither :

Comparing equation (i) with the slope-intercept form, we get

From equation (ii), we have

So,

We have

Therefore, the given lines are perpendicular.

Option (B) is CORRECT.

(2) We are given to check whether the following lines are parallel, perpendicular or neither :

Comparing equation (iii) with the slope-intercept form, we get

From equation (iv), we have

So,

We have

Therefore, the given lines are neither parallel nor perpendicular.

Option (C) is CORRECT.

Thus, both the questions are answered.