We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
25
3
avatar+1228 

A map of the town that Hannah lives in can be represented by the Cartesian plane. Hannah starts off at (-4, 9) and walks 10 units to the left and 7 units down to get to her new location. Along what line could she have walked to get to the new location directly from her old location? Express your answer in the form ax+by=c where c is a positive integer and a and b are integers not having any common factors other than 1.

 Oct 9, 2019

Best Answer 

 #1
avatar+19324 
0

https://web2.0calc.com/questions/help_54963#r3

 
 Oct 9, 2019
 #1
avatar+19324 
0
Best Answer

https://web2.0calc.com/questions/help_54963#r3

 
ElectricPavlov Oct 9, 2019
 #2
avatar+19324 
0

https://www.desmos.com/calculator/1ilbxad7wu

 
 Oct 9, 2019
 #3
avatar+103858 
+3

Hannah starts at  (-4, 9)    walks 10 units to the left and then 7 units down

 

So.....she ends up at   ( -4 -10 , 9 - 7)   =  (-14, 2)

 

So....we need to find the slope  between    (-4,9)   and (  -14, 2)

 

We have

 

[ 2 - 9 ] / [ -14 - - 4]  =    [-7]/ [-10]  =7/10

 

Using either of the points to write an equation of the line we have that

 

y  =(7/10)(x - -4) + 9       simplify

 

y = (7/10)(x + 4) + 9      mutiply through by 10

 

10y = 7(x + 4) + 90

 

10y = 7x +28  + 90

 

10y  =  7x + 118 subtract 7x from both sides

 

-7x + 10y  = 118

 

 

cool cool cool

 
 Oct 9, 2019

6 Online Users

avatar