Question

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

Answer 1

Answer:

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

Option D is correct option.

Step-by-step 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: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{10-6}{1-0}\\ Slope=\frac{4}{1}\\Slope=4$

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.