Review of Linear Equations and Slopes

Which equation represents a line that is perpendicular to the line whose equation is  $y\ =\ \frac{2}{3}x\ +\ 4$  ?

•  $y\ =\ -\frac{2}{3}x\ -\ 4$  

•  $y\ =\ -\frac{3}{2}x\ +\ 4$  

•  $y\ =\ -\frac{2}{3}x\ +\ 4\$  

•  $y\ =\ \frac{3}{2}x\ +\ 4$  

Which equation represents a line whose slope is  $\frac{1}{2}$  and whose y-intercept is 5? 

•  $y\ =\ \frac{1}{2}x\ +5$  

•  $y\ =\ 5x\ +\ \frac{1}{2}$  

•  $y\ =\ \frac{1}{2}x\ -\ 5$  

•  $y\ =\ 5x\ -\ \frac{1}{2}$  

The slope of a line perpendicular to the line whose equation is  $y\ =\ 3x\ -4$  is: 

•  $\frac{1}{3}$  

•  $-3$  

•  $-1$  

•  $-\frac{1}{3}$  

Which equation represents a line that is perpendicular to the graph of the line   $-2y\ =\ 4x\ +\ 10$  

•  $y\ =\ \frac{1}{2}x\ +\ 6$  

•  $y\ =\ -\frac{1}{2}x\ +\ 6$  

•  $y\ =\ 2x\ +\ 6$  

•  $y\ =\ -2x\ +\ 6$  

Which is an equation of a line that is parallel to the line whose equations is    $y\ =\ 3x\ +\ 7$  

•  $y\ =\ -\frac{1}{3}x\ +\ 6$  

•  $y\ =\ -3x\ +6$  

•  $y\ =\ \frac{1}{3}x-5$  

•  $y\ =\ 3x\ -5$  

Which equation represents a line whose slope is   $\frac{1}{2}$  and whose y-intercept is 3? 

•  $y\ =\ \frac{1}{2}x-3$  

•  $y\ =\ -\frac{1}{2}x+\ 3$  

•  $y\ =\ 3x\ +\ \frac{1}{2}$  

•  $y\ =\ \frac{1}{2}x\ +\ 3$  

What is the slope of the line that passes through the points (5, 3) and (-4, 1)?

• $\frac{1}{9}$

• $\frac{2}{9}$

• $\frac{7}{4}$

• $\frac{9}{2}$

Write an equation that represents the line that passes through the points     (5, 4) and (-5, 0).

• $y-4\ =\ \frac{2}{5}\left(x\ -\ 5\right)$

• $y\ +\ 4\ =\frac{5}{2}\left(x-5\right)$

Which is an equation of the line that passes through the point (0, 4) and is perpendicular to the line whose equation is            $y\ =\ -\frac{1}{2}x+\ 3$  

•  $y\ =\ -\frac{1}{2}x\ +\ 4$  

•  $y\ =\ -2x\ +\ 4$  

•  $y\ =\ 2x\ +\ 4\$  

•  $y\ =\ -2x\ -4$  

Which is an equation of the line that is parallel to    $y\ =\ 2x\ -8$  and passes through the point (0, -3) ?

•  $y\ =\ 2x\ +\ 3$  

•  $y\ =\ 2x\ -\ 3$  

•  $y\ =\ -\frac{1}{2}x\ +\ 3$  

•  $y\ =\ -\frac{1}{2}x\ -\ 3$