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Write an equation in point-slope form for the line through the given point with the given 

slope.

 

1. (10, –9); m = −2

 

2. (9, –8); m = 5/6

 

3. (10, 6); m = -2/3

 

4. (7, 10); m = - 1/2 

 

5.  (–1, 2); m = 1

 

6. A line passes through (2, –1) and (8, 4). Write an equation for the line in point-slope form.

 

7. A line passes through (4, 3) and (10, 10). Write an equation for the line in point-slope form.

 

8. A line passes through (–5, –9) and (2, –6). Write an equation for the line in point-slope form.

 

9. A line passes through (–1, 3) and (10, 9). Write an equation for the line in point-slope form.

 

10. A line passes through (–7, –3) and (4, 4). Write an equation for the line in point-slope form.

 

Is the relationship shown by the data linear? If so, model the data with an equation.

 

11.

X

Y

–9

-2
-5 -7
-1 -12
3 -17

 

12.

X Y
9 1
15 3
21 5
27 7

 

13.

X Y
-9 -3
-3 -2
3 0
9 1

 

14.

X Y
5 -2
11 -1
17 0
23 1

 

15.

X Y
-5 1
-1 0
3 -1
7 -2
 Sep 17, 2015

Best Answer 

 #4
avatar+111387 
+10

6. A line passes through  (2,    –1) and   (8,    4). Write an equation for the line in point-slope form.

                                        (  x1,  y1)         (x2 , y2)

 

 

Use the above to find the slope, m,  which is given by  :

 

m =  [ y2 - y1] / [ x2 - x1]    =    [4 - (-1)] / [ 8 - 2)  =  5/6

 

Then..... just use one  of the points (either one, doesn't matter) and do what we just did in 1 -5

 

y - 4 = (5/6)(x - 8)

 

 

This example should get you through  number 10

 

I'll finish the rest in a little while

 

 

cool cool cool

 Sep 17, 2015
 #1
avatar+111387 
+10

...............................................................................................

 Sep 17, 2015
edited by CPhill  Sep 17, 2015
edited by CPhill  Sep 17, 2015
 #2
avatar+111387 
+10

Sorry, Haley.....they wanted point-slope form....here we go

 

These examples should cover every problem  3 - 5.......

 

Point-slope form   .......y - y1 = m(x - x1)

 

1. (10, –9); m = −2    →     y - (-9)= -2(x - 10)

 

2. (9, –8); m = 5/6  →        y - (-8)  = (5/6) (x - 9)

 

 

 

 

cool cool cool

 Sep 17, 2015
 #3
avatar+482 
0

What about the rest

 Sep 17, 2015
 #4
avatar+111387 
+10
Best Answer

6. A line passes through  (2,    –1) and   (8,    4). Write an equation for the line in point-slope form.

                                        (  x1,  y1)         (x2 , y2)

 

 

Use the above to find the slope, m,  which is given by  :

 

m =  [ y2 - y1] / [ x2 - x1]    =    [4 - (-1)] / [ 8 - 2)  =  5/6

 

Then..... just use one  of the points (either one, doesn't matter) and do what we just did in 1 -5

 

y - 4 = (5/6)(x - 8)

 

 

This example should get you through  number 10

 

I'll finish the rest in a little while

 

 

cool cool cool

CPhill Sep 17, 2015
 #5
avatar
0

what does 6kg 14g=

 Sep 17, 2015
 #6
avatar+111387 
+10

11.

X     Y

–9   -2

-5   -7

-1  -12

3   -17

 

OK Haley ....this isn't difficult....just time consuming

 

If the differences in the x's and y's are constant, we have a line....if not, we don't

 

Notice that the difference in one x to another reading downward is +4

For example   -9 + 4   = -5      and -5 + 4 = -1    and -1 + 4 = 3   ...... etc.

 

And the difference in one y to another reading downward is also constant = -5

For example -2 - 5 = -7   and -7 - 5  = -12 ........etc

 

So...if we have a line......as we did in number 6.....use any two of the points to find the slope and then write the equation

 

For exampe in 11, we can use ( -9, -2) and (-5, -7)

                                                  ( x1, y1 )    (x2, y2)

 

The slope = m = [y2 - y1] / [ x2 - x1]   = [-7 - (-2)] / [-5 - (-9)]  =  -5 / 4

 

And the equation .....in point-slope form is

 

y - (-7)  = (-5/4) [ x - (-5)]        [remember that we can use any point on the line in this equation]

 

The rest are similar.........if the differences in x's and y's are not constant......we don't have a line so don't worry about writing an equation in that case

 

[13 is not a line...the y's are not constant......don't worry about it....!!! ]

 

 

cool cool cool

 Sep 17, 2015
 #7
avatar+482 
0

Thanks but I don't understand 6- 10 still

 Sep 17, 2015

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