tell whether the lines for each pair of equations are parallel perpendicular or neither y=-1/5x+6 - 2x+10y=5

For lines to be parallel, their slopes have to be the SAME.

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is - 1/2

slope is - 2/3

perpendicular line's slope is 3/2

y = mx + b

"m" is the slope

y = - 1/5x + 6 The slope is - 1/5

-2x + 10y = 5 Isolate "y", add 2x on both sides

10y = 5 + 2x Divide 10 on both sides

y = 1/2 + 1/5x The slope is 1/5

The lines are neither parallel or perpendicular, this is because the slopes are not the same, and the slopes are not negative reciprocals of each other.