alayciaruffin076
12.03.2021 •
Mathematics
Help me please , due soon
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Ответ:
Step-by-step explanation:
Ответ:
We are given table of input and output:
input output
3 5
4 7
6 11
11 21
We take x coordinate as input values and y-coordinates as output.
So, we can take two two coordinates from the given table (3,5) and (4,7).
Now, we need to find the slope between those two coordinates:
Now, applying point slope formula
y-y1 = m(x-x1)
y - 5 = 2(x-3)
y -5 = 2x -6
Adding 5 on both sides, we get
y -5+5 = 2x -6+5
y = 2x -1.Therefore, required eqution is y=2x-1.
In order to prove the equation for the table, we can plug x=3,4,6 and 11 in the euqation.
y=2(3)-1 = 6 -1 = 5
y =2(4) -1 = 8 - 1 = 7
y =2(6) - 1 = 12 -1 = 11.
y = 2(11) - 1 = 22-1 = 21.
Each input in table gives same vaule of output given in the table.