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
1) Your t-table:
2) Plot your points and graph your line
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.
DON'T FORGET TO SIMPLIFY YOUR ANSWERS!
Your final answer should be m = 3/2.
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.