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# ¿Puedes ayudarme con mis matemáticas?

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Find the slope of the line joining the points ( -2, 5 ) and (8, -7 )

A line with slope  passes through the points ( 5, 2 ) and (9, y ) Find y

What is the midpoint of the segment between ( -4, 9 ) and ( 28, -29 )?

Find the slope of the line y = 7x + 2.

Find the slope of the line 5x + 2y + 9 = 0.

Find the area of the region bounded by the y-axis, the line y = 6, and the line y = 1/2x.

Not very good English, this is not homework, just a introduct to slope in mathematicallics

Thank!

Nov 3, 2018

#1
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Find the slope of the line joining the points ( -2, 5 ) and (8, -7 )

Slope   =    [  subtract the y coordinates in any order ]

___________________________________

[ subtract the x coordinates in the same order]

So we have

[ -7 - 5]               - 12               - 6

_______   =      _____    =      ____    =  the slope

[ 8 - - 2]               10                  5   Nov 3, 2018
#2
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A line with slope  ?????  passes through the points ( 5, 2 ) and (9, y ) Find y   Nov 3, 2018
#3
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thank!

Nov 3, 2018
#6
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OK

We have this

[ y - 2 ]

______     =  - 3

[ 9 - 5 ]

[ y - 2 ]

______   =     - 3            mutiply both sides by  4

4

y -  2  =   - 12          add 2 to both sides

y  =  -10   CPhill  Nov 3, 2018
#4
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o sorry it meant to say -3

Nov 3, 2018
#5
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What is the midpoint of the segment between ( -4, 9 ) and ( 28, -29 )?

Midpoint

(  add x coordinates  and divide by 2,  add y coordinates and divide by 2 )

So .....

[   (-4 + 28) / 2  ,  ( 9 +  -29) / 2  ]  =

[ 24 / 2 ,  -20 / 2 ]  =

[ 12, -10 ]   Nov 3, 2018
#7
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Find the slope of the line y = 7x + 2.

This is easy, Android.....

In the form

y  = mx + b

The slope is just  m

So

y = 7x + 2

So...the slope  is   7   Nov 3, 2018
#8
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Find the slope of the line 5x + 2y + 9 = 0

In the form    ax + by + c  = 0

The slope is just    -a / b

So

a = 5       b  =  2

And the slope is     - 5 / 2   Nov 3, 2018
#9
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Find the area of the region bounded by the y-axis, the line y = 6, and the line y = 1/2x.

I have to go, Android.....

But.....the answer to this one is  36 units^2

I'll be back a little later to explain this one for you....but..at least you have an answer  !!!   Nov 3, 2018