Question

What is the linear equation that represents the value shown below?

X l Y
0 l 6
1 l 10
2 l 14
3 l 18
4 l 22

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y = 6x + 10

y = 4 + 6x

y = 10x

y = 6 + 4x

Answer 1

The linear equation that represents the value shown below is
`\mathbf{y=4x+6}`

Option D is correct option.

Explanation:

We need to find the linear equation that represents the value shown below.

X l Y

0 l 6

1 l 10

2 l 14

3 l 18

4 l 22

The equation will be of form
`y=mx+b` where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding slope

Using points (0,6) and (1,10) we can find slope by formula:
`Slope=(y_2-y_1)/(x_2-x_1)`

Putting values and finding slope

`Slope=(y_2-y_1)/(x_2-x_1)\\Slope=(10-6)/(1-0)\\ Slope=(4)/(1)\\Slope=4`

So, we get slope m = 4

Now finding y-intercept

When x=0, the value of y is y-intercept

So, y-intercept b = 6

So, the equation having slope m= 4 and y-intercept b=6

`y=mx+b\\y=4x+6`

So, The linear equation that represents the value shown below is
`\mathbf{y=4x+6}`

Option D is correct option.