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



y = 6x + 10

y = 4 + 6x

y = 10x

y = 6 + 4x

The linear equation that represents the value shown below is

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 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:

Putting values and finding slope

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

So, The linear equation that represents the value shown below is

Option D is correct option.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c