Question

I need help with my math

Answer 1

To solve the system of equations graphically, you must draw a line that represents each equation, then find the point of intersection between the 2 lines, this point is the solution of the system

Let us do that

`y=-(1)/(2)x-6`

Let us choose a value of x to find y

Let x = 0

`\begin{gathered} y=-(1)/(2)(0)-6 \\ y=0-6 \\ y=-6 \end{gathered}`

The first point on the line is (0, -6)

Let x = 2

`\begin{gathered} y=-(1)/(2)(2)-6 \\ y=-1-6 \\ y=-7 \end{gathered}`

The second point on the line is (2, -7)

We will do the same for the 2nd equation

`y=-3x+4`

At x = 0

`\begin{gathered} y=-3(0)+4 \\ y=0+4 \\ y=4 \end{gathered}`

The first point is (0, 4)

Let x = 2

`\begin{gathered} y=-3(2)+4 \\ y=-6+4 \\ y=-2 \end{gathered}`

The second point on the line is (2, -2)

Now we will draw each line using the points above

The red line represents the first equation

The blue line represents the second equation

The two lines intersected at the point (4, -8)

Then the solution of the system is (4, -8)