Question

V5Two lines are graphed on the coordinate plane below.Graphical Representation:If a point is a solution to an equation, thenthe point will be on the graph of theequation.Algebraic Representation:If a point is a solution to an equation, thensubstituting the values for x and y into theequation will produce a true statement.Line 2:Line 1: y.-26.4Consider the point A(3, 4).Is the point a solution to the equation for Line 1?nothe point isnt in the lineUse an algebraic representation

Answer 1

Let:

`\begin{gathered} y=(1)/(3)x-3 \\ y=-2x+4 \end{gathered}`
`A(3,4)=(x,y)`

Let's evaluate the point into the line 1:

`\begin{gathered} x=3,y=4 \\ 4=(1)/(3)(3)-3 \\ 4=1-3 \\ 4=-2 \\ False \end{gathered}`

Therefore, the point is not on the line 1.

The algebraic representation is:

`4=(1)/(3)\cdot3-3`

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Let's evaluate the point into the line 2:

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

Therefore, the point is not on the line 2.

The algebraic representation is:

`4=-2\cdot3+4`

The point is not a solution for both equations