Slope in a table - Questions

Answers

1. The slope is -1.

\text { Slope }=\frac{\text { Rise }}{\text { Run }}=\frac{\text { Change in } y}{\text { Change in } x}

We can calculate the change in x and change in y by picking any two pairs of corresponding x- and y-values.

x 5 \stackrel{+1}{\longrightarrow} 6 \stackrel{+1}{\longrightarrow} 7 \stackrel{+1}{\longrightarrow} 8
y -5 -6 \stackrel{-1}{\longrightarrow}\ -7 \stackrel{-1}{\longrightarrow}\ -8 \stackrel{-1}{\longrightarrow}


So the slope is:

\frac{\text { Change in } y}{\text { Change in } x}=\frac{-1}{1}=-1

The slope is -1.


2. The slope is 7.

\text { Slope }=\frac{\text { Rise }}{\text { Run }}=\frac{\text { Change in } y}{\text { Change in } x}

We can calculate the change in x and change in y by picking any two pairs of corresponding x- and y-values.

x -7 \stackrel{+3}{\longrightarrow} -4 \stackrel{+3}{\longrightarrow} -1 \stackrel{+3}{\longrightarrow} 2
y -7 14 \stackrel{+21}{\longrightarrow}\ 35 \stackrel{+21}{\longrightarrow}\ 56 \stackrel{+21}{\longrightarrow}


So the slope is:

\frac{\text { Change in } y}{\text { Change in } x}=\frac{21}{3}=7

The slope is 7.


3. The slope is 3.

\text { Slope }=\frac{\text { Rise }}{\text { Run }}=\frac{\text { Change in } y}{\text { Change in } x}

We can calculate the change in x and change in y by picking any two pairs of corresponding x- and y-values.

x -4 \stackrel{+1}{\longrightarrow} -3 \stackrel{+1}{\longrightarrow} -2 \stackrel{+1}{\longrightarrow} -1
y 2 5 \stackrel{+3}{\longrightarrow}\ 8 \stackrel{+3}{\longrightarrow}\ 11 \stackrel{+3}{\longrightarrow}


So the slope is:

\frac{\text { Change in } y}{\text { Change in } x}=\frac{3}{1}=3

The slope is 3.


4. The slope is -\frac {2}{5}

\text { Slope }=\frac{\text { Rise }}{\text { Run }}=\frac{\text { Change in } y}{\text { Change in } x}

We can calculate the change in x and change in y by picking any two pairs of corresponding x- and y-values.

x 31 \stackrel{+5}{\longrightarrow} 36 \stackrel{+5}{\longrightarrow} 41 \stackrel{+5}{\longrightarrow} 46
y 10 8 \stackrel{-2}{\longrightarrow}\ 6 \stackrel{-2}{\longrightarrow}\ 4 \stackrel{-2}{\longrightarrow}


So the slope is:

\frac{\text { Change in } y}{\text { Change in } x}=\frac{-2}{5}=-\frac{2}{5}

The slope is -\frac {2}{5}.