Linear Functions 1 — Heart of Algebra

Questions in this quiz (7)

1. In the $$xy$$-plane, a line passes through the origin and the point $$(c,d)$$, where $$c$$ > $$d$$ > $$0$$. Which of the following could be the slope of the line?

   • $$-\frac{2}{3}$$
   • $$\frac{1}{4}$$
   • $$1$$
   • $$2$$

2. Line $$\ell$$ passes through the points $$(h,4)$$ and $$(2,h-5)$$. If the slope of line $$\ell$$ is $$2$$, what is the value of $$h$$?

   • $$-6$$
   • $$-2$$
   • $$\frac{13}{3}$$
   • $$\frac{9}{2}$$

3. What is the equation of the line parallel to the $$y$$-axis and $$5$$ units to the left of the $$y$$-axis?

   • $$x=-5$$
   • $$y=5$$
   • $$y=-5$$
   • $$x=5$$

4. If a line has a slope of $$-\frac{2}{5}$$ and passes through the point $$(3,4)$$, which of the following points also lies on the line?

   • $$(1,8)$$
   • $$(5,0)$$
   • $$(8,2)$$
   • $$(10,-2)$$

5. Which of the following could be the equation of the line?

   • $$y=-2x+5$$
   • $$y=-\frac{1}{2}x+2$$
   • $$y=-\frac{1}{2}x-2$$
   • $$y=-2x-1$$

6. In the $$xy$$-plane, points $$(2,-1)$$ and $$(8,2)$$ lie on line $$m$$. Which of the following points is also on line $$m$$?

   • $$(5,0)$$
   • $$(6,4)$$
   • $$(4,0)$$
   • $$(10,5)$$

7. A point is plotted at $$(2,-3)$$ and another point is plotted at $$(8,k)$$ in the xy-plane. If the slope of the line passing through the two points is $$-\frac{1}{2}$$, what is the value of $$k$$?

   • $$-3$$
   • $$-6$$
   • $$0$$
   • $$3$$