Question

What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-18, -23) ?(−18,−23)? Write your answer in the simplest form.

Answer 1

Let's see what to do buddy...

Explanation:

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Step (1)

To find the slope of linear functions using two points, we have the following equation :

`slope = (y(b) - y(a))/( x(b) - x(a) ) \\`

Where a and b are two point of the function.

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Step (2)

Well now I want to choose a name for the given points :

a = ( -3 , -3 ) ••••••••• b = ( -18 , -23 )

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Step (3)

It's time to put the the coordinates in the above equation :

`slope = ( - 23 - ( - 3))/( - 18 - ( - 3)) \\`

`slope = ( - 23 + 3)/( - 18 + 3 ) \\`

`slope = ( - 20)/( - 15) \\`

Negatives simplified :

`slope = (20)/(15) \\`

The face and denominator are reduced to five :

`slope = (4)/(3) \\`

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And we're done.

Thanks for watching buddy good luck.

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