Sample quiz on parallel/perpendicular lines
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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 $\cdots$?
    
    $a=b-4$
    $a=b+4$
    $a-b=0$
    $a+b=0$