the line represented by the equation 4y + 2x = 33.6 shares a solution point with the line represented by the table
below.

x, y
-5, 3.2
-2, 3.8
2, 4.6
4,5
11 ,6.4

the solution for this system is
1) (-14.0,-1.4)
2) (-6.8,5.0)
3) (1.9,4.6)
4) (6.0,5.4)

The solution of this system is

(4). (6.0,5.4)

Step-by-step explanation:

First we have to find the equation of the line represented in the table; for that we have to find it's slope and it's y-intercept and then write it in the following form:

The slope of the line we get from first two points:

thus we have

we find by putting the point into the function:

Thus we have

Now we have to find where this line intersects with ; to do this we just substitute with :

We have the x-coordinate of  the intersection.

We find the y-coordinate by substituting into :

Thus the solution to the system is

which is option 4.

6 meters

step-by-step explanation: