# Sample quiz on parallel/perpendicular lines Main home here.

1. If two lines are parallel, then their slopes $\cdots$
are both $0$
are both $-1$
are equal
multiply to give $-1$
2. If two lines are perpendicular, then their slopes
multiply to give $-1$
are both $-1$
are both $0$
are reciprocals of each other
3. A line has equation $y=-2x+3$. What is the slope of another line that is parallel to it?
$-\frac{1}{2}$
$\frac{1}{2}$
$2$
$-2$
4. If a line has equation $2x-3y+5=0$, what is the slope of another line that is perpendicular to it?
$-\frac{2}{3}$
$-\frac{3}{2}$
$\frac{2}{3}$
$\frac{3}{2}$
5. A line which passes throught $(2,4)$ is also parallel to the line $y=2x+3$. Find its equation.
$y=2x$
$y=2x+4$
$y=-\frac{1}{2}x+5$
$y=-\frac{1}{2}x-5$
6. Find the equation of a line which goes through the point $(1,-5)$ and is perpendicular to the line $3x-4y-7=0$.
$y=-\frac{4}{3}x-\frac{11}{3}$
$y=-\frac{4}{3}x+\frac{19}{3}$
$y=\frac{3}{4}x+\frac{23}{4}$
$y=\frac{3}{4}x-\frac{17}{4}$
7. Find the equation of a line which passes through the origin and is parallel to the line $5x+4y-9=0$.
$y=\frac{4}{5}x$
$y=\frac{5}{4}x$
$y=-\frac{5}{4}x$
$y=-\frac{4}{5}x$
8. Find the equation of a line which goes through the origin and is perpendicular to the line $x=0$
$y=-x$
$y=x$
$x=0$
$y=0$
9. A line goes through the points $(1,3)$ and $(-1,b)$. For what value of $b$ is this line parallel to $2x-3y-10=0$?
$b=\frac{5}{3}$
$b=\frac{3}{5}$
$b=\frac{13}{3}$
$b=-\frac{1}{3}$
10. A line goes through the points $(a,-2)$ and $(2,b)$. If it is also perpendicular to the line $x-y=0$, then the relationship between $a$ and $b$ is $\cdots$?
$a=b-4$
$a=b+4$
$a-b=0$
$a+b=0$