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

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

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

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 lines $y=-2x+5$ and $y=\frac{1}{2}x-3$ are parallel, perpendicular, or neither.

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

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

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

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

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

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

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