Slope

Slope in a table - Questions

1. The slope is $-1$ .

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:

The slope is $-1$ .

2. The slope is $7$ .

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:

The slope is $7$ .

3. The slope is $3$ .

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:

The slope is $3$ .

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

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: