+0  
 
0
70
2
avatar

The equation of the line passing through (1,11) and (4,5) can be expressed in the form x / a + y / b = 1

 

Find a. 

 Nov 14, 2020
 #1
avatar
0

From point-slope form, a = 39/17 and b = 39/2.

 Nov 14, 2020
 #2
avatar+114221 
+1

(1,11)  and  (4,5)

 

Slope  =   [ 5 - 11] / [ 4 -1] =   -6/3  =  -2

 

Equation  of line

 

y = -2 (x -1)  + 11     simplify

 

y = -2x + 2 + 11

 

y = -2x + 13       add 2x to both sides

 

2x + y =  13        divide through  by 13

 

(2/13) x  +  (1/13) y =  1        note that we can write this as

 

  x               y

____    +  _____     =       1

(13/2)         13

 

This implies  that  a =   (13/2)

 

 

cool cool cool

 Nov 14, 2020

30 Online Users

avatar
avatar
avatar