Lines — Quiz 4

Questions in this quiz (7)

1. If the graphs of the equations $$3x + 4y = 8$$ and $$7x + ky = 10$$ are perpendicular, what is the value of $$k$$?

   • $$-\frac{3}{4}$$
   • $$-\frac{21}{4}$$
   • $$-\frac{7}{10}$$
   • $$\frac{3}{4}$$

2. Line $$m$$ is perpendicular to the $$x$$ axis. Points $$A(4, -3)$$ and $$B$$ are on line $$m$$. Find the $$x$$-coordinate of $$B$$.

   • 4
   • 0
   • -3
   • 3

3. Find the intercepts of the linear equation $$y=-mx+c$$, where $$m\ne0$$.

   • $$y$$-intercept: $$-m$$ ; $$x$$-intercept: $$\frac{-m}{c}$$
   • $$y$$-intercept: $$c$$ ; $$x$$-intercept: $$\frac{c}{m}$$
   • $$y$$-intercept: $$-c$$ ; $$x$$-intercept: $$\frac{m}{c}$$
   • $$y$$-intercept: $$-c$$ ; $$x$$-intercept: $$\frac{-m}{c}$$

4. Write an equation for the line $$l$$ that passes through the point $$(4,-3)$$ and is parallel to the line below:$$y=-2$$

   • $$y= 4x + 3$$
   • $$y= 4x -3$$
   • $$y=-3x + 4$$
   • $$y=-3$$

5. Write an equation for the line $$l$$ that passes through the point $$(2,-3)$$ and is perpendicular to the line: $$x=-4$$

   • $$y=-3$$
   • $$y= 2x - 3$$
   • $$y= 2x + 3$$
   • $$y= -2x + 3$$

6. Write an equation for the line $$l$$ that is symmetric to the line $$m:y=-3x+4$$ with respect to the $$x$$-axis.

   • $$y=3x-4$$
   • $$y=3x+4$$
   • $$y=-3x-4$$
   • $$y=-3x+4$$

7. Five lines labeled A, B, C, D, and E are shown in the figure. Based on their slopes, arrange the lines in increasing order from the smallest slope to the largest slope.

   • $$A, B, C, D, E$$
   • $$E, D, C, B, A$$
   • $$D, E, C, B, A$$
   • $$D, E, A, B, C$$