Answer:
Each person shared 1/6 of the cake.
Step-by-step explanation:
3 people shared a half of a cake so it’s 1/2 divided by 3.
To answer this question you would start with 1 whole piece and break it into 4 equal pieces. Each piece would be 1/4 of the original.
If you used 3 of these, you are left with 1/4.
Out of the 1/4 leftover, you create 5 equal-sized pieces.
1/4 divided by 5.
1/4 x 1/5 = 1/20 of the original board for each.
The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
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m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
Tricky question. What are you trying to figure out?
