Question

Find the slope of the line that passes through the points shown in the table.

-14/8
-7/6
0/4
7/2
14/0
The slope of the line that passes through the points in the table is ____​

Answer 1

Find the slope of the line that passes through the points shown in the table.

The slope of the line that passes through the points in the table is

-2/7

.

Explanation:

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Answer 2

`\boxed{ \bf Slope\:(m)= -\cfrac{2}{7}}`

Explanation:

We are given x-coordinates and their corresponding y-coordinates.

The formula to get the slope of a line between two coordinates is:-

`\boxed{ \bf m =\cfrac{y_2 - y_1}{x_2 - x_1}}`

Now, that we know the formula, Let's take the third and fourth coordinates of the graph which are;

• (0, 4)

• (7, 2)

Where,

`\bf (x_1,y_1)=(0,4)`

`\bf (x_2,y_2)=(7,2)`

Slope: →

`\bf m = \cfrac{(2-4)}{(7-0)}`

Subtract 2 - 4 = -2

• 
  `\bf m=\cfrac{-2}{7-0}`

Subtract 7 - 0 = 7

• 
  `\bf m=-\cfrac{2}{7}`

Therefore, The slope of the line that passes through the points in the table is -2/7

_________________

Hope this helps!

Have a great day!