Graphing Linear Equations 1 — Basic Algebra

Questions in this quiz (10)

1. The graph shows points $$S$$ and $$T$$ on the coordinate plane. The graph of the equation: $$y=\frac{1}{4}x$$ will pass through which of the following pairs of points?

   • $$\text{point }S\text{ and }(-1,2)$$
   • $$\text{point }S\text{ and }(0,-2)$$
   • $$\text{point }T\text{ and }(0,0)$$
   • $$\text{point }T\text{ and }(0,-2)$$

2. Point $$B$$ is located at $$(2,-1)$$. Which of the following equations passes through point $$B$$?

   • $$x+y=3$$
   • $$2x-y=5$$
   • $$3x+2y=5$$
   • $$x-4y=2$$

3. A line passes through the points $$(2,5)$$ and $$(6,13)$$. What is the slope of the line?

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

4. Line $$M$$ passes through the following points: $$(1,-2),\ (2,1),\ (3,4),\ (4,7)$$ What is the slope of line $$M$$?

   • $$2$$
   • $$3$$
   • $$4$$
   • $$5$$

5. Line $$P$$ passes through the point $$(2,1)$$ and has a slope of 2. Which of the following points also lies on line $$P$$?

   • $$(3,2)$$
   • $$(4,5)$$
   • $$(5,8)$$
   • $$(1,0)$$

6. Use slope-intercept form to find the equation of the line that has slope $$m=-3$$ and passes through the point $$(2,5).$$

   • $$y=-3x+11$$
   • $$y=-3x+5$$
   • $$y=3x-1$$
   • $$y=3x+11$$

7. Use point-slope form to find the equation of the line that passes through the point $$(-2,4)$$ and has a slope of 5.

   • $$y-4=5(x+2)$$
   • $$y+4=5(x-2)$$
   • $$y-4=5(x-2)$$
   • $$y+2=5(x-4)$$

8. Which of the following is an equation for the line that passes through $$(0,2)$$ and $$(4,6)?$$

   • $$y=x+2$$
   • $$y=2x+2$$
   • $$y=-x+2$$
   • $$y=\frac{1}{2}x+6$$

9. Which of the following is an equation for the line that passes through $$(-4,-1)$$ and $$(2,-1)?$$

   • $$y=-1$$
   • $$y=x-1$$
   • $$x=-1$$
   • $$y=1$$

10. Which of the following equations describes the same line as: $$y-4=2(x-1)?$$

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