Answer:
First lets find the slope through the points (3,-1) and (-1,5)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula (note: (x%5B1%5D,y%5B1%5D) is the first point (3,-1) and (x%5B2%5D,y%5B2%5D) is the second point (-1,5))
m=%285--1%29%2F%28-1-3%29 Plug in y%5B2%5D=5,y%5B1%5D=-1,x%5B2%5D=-1,x%5B1%5D=3 (these are the coordinates of given points)
m=+6%2F-4 Subtract the terms in the numerator 5--1 to get 6. Subtract the terms in the denominator -1-3 to get -4
m=-3%2F2 Reduce
So the slope is
m=-3%2F2
Step-by-step explanation:
Missing part of question:
Draw a tape diagram to show how much cake each of the five children received.
Answer:
See attachment
Step-by-step explanation:
Given


Required
Tape diagram to represent the scenario
Because one child is not hungry, the number of children to share the cake becomes 6.
So, first we calculate the share of each child.



See attachment for tape diagram
The tape diagram implies that:

or

or

To get the slope of -2y+38x=38.
Let us convert to slope intercept form, that is y=mx+b
So, subtracting 38x from both sides, we get
-2y=-38x+38
Now, Divide by -2 on both sides, we get
y=(-38/-2)x+(38/-2)
y=19x-19
Slope, m=19