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avatar+77 

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
avatar+102948 
+2

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

 

 

cool cool cool

 Nov 3, 2018
 #2
avatar+102948 
0

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

 

 

cool cool cool

 Nov 3, 2018
 #3
avatar+77 
0

thank!

 Nov 3, 2018
 #6
avatar+102948 
+1

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

 

 

 

cool cool cool

CPhill  Nov 3, 2018
 #4
avatar+77 
0

o sorry it meant to say -3

 Nov 3, 2018
 #5
avatar+102948 
+1

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 ]

 

 

cool cool cool

 Nov 3, 2018
 #7
avatar+102948 
+1

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

 

 

cool cool cool

 Nov 3, 2018
 #8
avatar+102948 
+1

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

 

 

 

cool cool cool

 Nov 3, 2018
 #9
avatar+102948 
+1

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  !!!

 

 

 

cool cool cool

 Nov 3, 2018

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