Chapter 8 Practice

Some practice problems for chapter 8.

So far, we have learned how to graph equations by creating t-tables. In this chapter, we learned to use the points on a graph to create slope triangles, and use those slope triangles to find the slope of a line.

For example, given the equation y = x + 1

 X Y -2 -1 -1 0 0 1 1 2 2 3

3) Pick two points, draw a slope triangle, and find the slope of your line

1. For the following problems, create a T-TABLE, plot your points on a GRAPH, AND then find the SLOPE using slope triangles over two points. You can draw all three graphs on the         same x-y axes.
(a) y = 5x + 1
(b) y = -3x + 1
(c)  y= x

Lastly, in this chapter we have worked on finding the slope given two points. We have looked at two ways of doing this : (1) The first is by plotting the points on a graph and using slope triangles to find the slope; (2) The second method is by finding "the change in y over the change in x".

For example, given the points (1, 3) and (5, 9)...
...the change in y can be found as 9 - 3 = 6.
...the change in x can be found as 5 - 1 = 4.
So our slope is the "the change in y over the change in x" = 6/4.

4. For the following set of points, find the slope using either method.
(a)     (1 , 5) & (8, 9)
(b)     (-3, -10) & (2, 10)
(c)     (-1, -1) & (-2, 2)
(d)     (5, 0) & (5, -12)
(e)     (6, -3) & (-2, 3)
(f)       (1, 12) & ( 8, 12)
(g)      (5, 9) & (1, 8)
(h)      (5, -4) & (-2, -3)
(i)        (-6, 12) & (18, 0)
(j)        (5, 5) & (10, 10)

If you would like more practice, refer to chapter eight.