Linear Relationships 1 — Heart of Algebra

Questions in this quiz (10)

1. Find the slope of the line passing through the points (2,3) and (5,9).

   • $$1$$
   • $$2$$
   • $$3$$
   • $$4$$

2. In the equation $$y=3x-7$$, what is the $$y$$-intercept?

   • $$3$$
   • $$-7$$
   • $$7$$
   • $$0$$

3. Write the equation of a line with slope $$= -2$$ that passes through $$(1,4)$$.

   • $$y=-2x-2$$
   • $$y=-2x+2$$
   • $$y=-2x+6$$
   • $$y=2x-4$$

4. A robot moves in a straight line at a constant speed. The equation $$d=45t$$ gives the distance $$d$$, in centimeters from its starting point, after $$t$$ seconds. How far from the starting point will the robot be $$3$$ seconds after it begins moving?

   • $$135$$
   • $$120$$
   • $$45$$
   • $$90$$

5. Convert $$y-5=4(x+2)$$ to slope-intercept form.

   • $$y=4x+3$$
   • $$y=4x-3$$
   • $$y=4x+13$$
   • $$y=4x-13$$

6. Which of the following is parallel to $$y=-\frac{1}{2}x+7$$?

   • $$y=2x-3$$
   • $$y=-2x+3$$
   • $$y=-\frac{1}{2}x-5$$
   • $$y=\frac{1}{2}x+1$$

7. A line has equation $$y=3x-8.$$ What is the slope of a line perpendicular to it?

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

8. Find the $$x$$-intercept of the line $$y=2x-6.$$

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

9. What is the point of intersection of the lines $$y=2x+1$$ and $$y=-x+7?$$

   • $$(1,3)$$
   • $$(2,5)$$
   • $$(3,4)$$
   • $$(2,7)$$

10. Which equation represents a horizontal line?

    • $$y=5$$
    • $$x=5$$
    • $$y=x+5$$
    • $$x-y=0$$