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Karolina [17]
4 years ago
6

Table

Mathematics
1 answer:
Scorpion4ik [409]4 years ago
3 0

Answer:

The graph of the the equation \:y=x+1 is also attached below.

Step-by-step explanation:

Here is the given table

x                               y

2                               3

4                               5

6                               7

8                               9

10                              11

Taking any two points:

  • (2, 3)
  • (4, 5)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:3\right),\:\left(x_2,\:y_2\right)=\left(4,\:5\right)

m=\frac{5-3}{4-2}

m=1

As the slope-intercept form is given by

y\:=\:mx+b

Plugging any point, let say (2, 3) and m = 1 in the slope-intercept form to get the value of 'b' (y-intercept).

y\:=\:mx+b

3\:=\:\left(1\right)2+b

\mathrm{Switch\:sides}

\left(1\right)\cdot \:2+b=3

2+b=3

\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}

2+b-2=3-2

b=1

So the equation for the data presented in table will be:

y\:=\:mx+b

  • m = 1
  • b = 1

Plugging the values in the equation

y\:=\:mx+b

y\:=\:\left(1\right)x+1

\:y=x+1

Where

the slope = m = 1

y-intercept = b = 1

The graph of the the equation \:y=x+1 is also attached below.

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