Sample quiz on equation of a line
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1. Find the equation of a line with slope $2$ and $y$-intercept $3$.
   
   $y=3x+2$
   $y=2x-3$
   $y=2x+3$
   $y=3x-2$
   
2. Find the equation of a line with slope $\frac{1}{2}$ and $y$-intercept $-3$
   
   $y=\frac{1}{2}x-3$
   $y=\frac{1}{2}x+3$
   $y=-3x+\frac{1}{2}$
   $y=-3x-\frac{1}{2}$
3. Find the equation of a line that is parallel to the $x$-axis and passes through the point $(1,3)$.
   
   $y=x+3$
   $x=3$
   $x=1$
   $y=3$
4. Find the equation of a line that is parallel to the $y$-axis and passes through the point $(3,1)$.
   
   $y=1$
   $x=3$
   $x=1$
   $y=3x+1$
5. A line has a slope of $\frac{1}{4}$ and passes through the point $(8,2)$. Find its equation
   
   $y=\frac{1}{4}x+2$
   $y=\frac{1}{4}x-2$
   $y=\frac{1}{4}x+4$
   $y=\frac{1}{4}x$
6. Find the equation of a line with slope $-3$ and passes through the point $(1,1)$.
   
   $y=-3x+4$
   $y=-3x-4$
   $y=-3x+2$
   $y=-3x-2$
7. Find the equation of a line with slope $-\frac{2}{7}$ and passes through the point $(5,2)$.
   
   $y=-\frac{2}{7}x+\frac{4}{7}$
   $y=-\frac{2}{7}x-\frac{24}{7}$
   $y=-\frac{2}{7}x+\frac{24}{7}$
   $y=\frac{2}{7}x+\frac{24}{7}$
8. Find the equation of a line which passes through the points $(1,3)$ and $(-2,5)$.
   
   $y=-\frac{2}{3}x-\frac{7}{3}$
   $y=-\frac{2}{3}x+\frac{7}{3}$
   $y=-\frac{2}{3}x-\frac{11}{3}$
   $y=-\frac{2}{3}x+\frac{11}{3}$
9. Find the equation of a line which passes through the points $(2,5)$ and $(2,13)$.
   
   $x=2$
   $y=2$
   $y=4x-3$
   $y=x+3$
10. Find the equation of a line with $x$-intercept $2$ and $y$-intercept $3$
    
    $y=2x+3$
    $y=-\frac{3}{2}x+3$
    $y=-\frac{3}{2}x+2$
    $y=\frac{3}{2}x+3$