Question

System of Graph per 2

Answer 1

To solve the given system, we have to graph each equation.

`y=-2x`

Let's find the points when x = 1, x = 2.

`\begin{gathered} y=-2\cdot1=-2 \\ y=-2\cdot2=-4 \end{gathered}`

The points for the first line are (1, -2) and (2, -4). Now, let's plot these points and draw the line

Now, let's repeat the process for the second equation.

`y=3x+5`

For x = 0, and x = 1, we have

`\begin{gathered} y=3\cdot0+5=5 \\ y=3\cdot1+5=3+5=8 \end{gathered}`

The points are (0, 5) and (1, 8). Let's graph the second line

As you can observe in the image above, the lines intersect at (-1, 2).

Hence, the solution to the system is (-1,2).