Question

Choose the system of equations that matches the following graph

Answer 1

The first option

Explanation:

I just found a place where the lines were on coordinate with whole numbers and replaces the x and y values of the equations (in this case I used 8,3). If the answer was correct, then that was the right equation

Answer 2

1st option

x-4y=-4

3x +4y=36

Explanation:

The point (8,3) is the common point for both lines (and their equations)

Let's pick another point for the red line, the I equation and then calculate the the equation

I (8,3) and (4,2)

`m=(3-2)/(8-4)\\ \\  m=1/4`

We now have the inclination angle = 1/4 crescent function

Looking at the graph we see the red line, the equation I intercepts y-axis on point 1

y=1/4x+1

y=1/4(8)+1 Therefore : y=3 Testing for (4,2) y=1/4*4+1 y=2

As for the blue line, the second equation finding out m, as we have two points for this Equation (0,9) and (8,3)

`m=(3-9)/(8-0)\\  m=-3/4`

y=-3/4x+9

So we have

y=1/4x+1

y=-3/4x+9

But in the options we have to multiply everything by four

4y=x+4

4y=-3x+36

Rearranging

-x+4y=4 *(-1)

3x+4y=36

Finally

x-4y=-4

3x +4y=36