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# help

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156
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+1196

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.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

### 3+0 Answers

#1
+22018
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Initial location   -4,9

final location     -14, 2       (10 units left  7 units down)

Now you have two points on a line......let's see....do you remember how to find the slope between these two points?

Oct 9, 2019
#2
+1196
+1

I found the slope of 7/10?

Oct 9, 2019
#3
+22018
0

Yes slope = 7/10

Now you have two points (pick one)...     and sub into y = mx+b   ( m = slope)  to find the value of  'b'   and you will have your line eq

you will need to re-arrange it to  ax + by = c   form......but I'm sure you can do it....

ElectricPavlov  Oct 9, 2019