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For each line find the SLOPE between the 2 points given - simply each fraction to prove that the lines have a CONSTANT rate of change :1) Point T : 2) Point R : 3) Point S :4) Slope of TR :5) Slope of RS :6) Slope of TS :7) Describe the SLOPE of the line :8) Therefore the CONSTANT rate of change is ....?

For Each Line Find The SLOPE Between The 2 Points Given Simply Each Fraction To Prove That The Lines Have A CONSTANT Rate Of Change 1 Point T 2 Point R 3 Point class=

Sagot :

First, find the coordinates of each point looking to the graph.

1) Point T: (-5,0)

2) Point R: (1,2)

3) Point S: (7,4)

Use the slope formula to find the slope for each pair of points:

[tex]\begin{gathered} m_{TR}=\frac{2-0}{1-(-5)} \\ =\frac{2}{1+5} \\ =\frac{2}{6} \\ =\frac{1}{3} \end{gathered}[/tex][tex]\begin{gathered} m_{RS}=\frac{4-2}{7-1} \\ =\frac{2}{6} \\ =\frac{1}{3} \end{gathered}[/tex][tex]\begin{gathered} m_{TS}=\frac{4-0}{7-(-5)} \\ =\frac{4}{7+5} \\ =\frac{4}{12} \\ =\frac{1}{3} \end{gathered}[/tex]

Therefore, the slope of TR, RS and TS is 1/3.

7) The slope of the line is constant and equal to 1/3.

8) The constant rate of change of the line is 1/3.

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