Question Type 6: Identifying whether two lines are parallel or perpendicular Exercises

Determine whether the lines $y=-2x+5$ and $y=\frac12x-3$ are parallel, perpendicular, or neither.

Determine whether the lines $y=3x+1$ and $y=3x-4$ are parallel, perpendicular, or neither.

Determine whether the lines $2x-4y+6=0$ and $x-2y-3=0$ are parallel, perpendicular, or neither.

Determine whether the lines $y=\frac{x+2}{3}$ and $3y-x-6=0$ are parallel, perpendicular, or neither.

Determine whether the lines $5y-10x+4=0$ and $2x+y-7=0$ are parallel, perpendicular, or neither.

Determine whether the lines $x+y=7$ and $x-y+2=0$ are parallel, perpendicular, or neither.

Determine the relationship between the lines $y-2=4(x+1)$ and $8x+2y-3=0$.

Determine whether the line through points $(1,2)$ and $(3,6)$ is parallel, perpendicular, or neither to the line $y=2x-1$.

Find the value of $k$ such that the lines $3x-y+2=0$ and $kx+2y-5=0$ are perpendicular.

Find the value of $k$ such that the lines $2x+5y-1=0$ and $kx-10y+4=0$ are parallel.

For what value of $k$ is the line $y=kx+3$ perpendicular to the line $4x+2y-6=0$?

Find the value of $b$ such that the lines $x+by=4$ and $2x-y+1=0$ are perpendicular.