Question

Y=8x - 6 i need this graphed

Answer 1

The given equation is:

`y=8x-6`

To graph this equation, we can make a table of values, by replacing different x-values into the equation and solving for y. This will give us the coordinates of the points in the equation and if we join them, we'll obtain the graph.

Let's start with the table of values:

a. x=-3:

`\begin{gathered} y=8*(-3)-6 \\ y=-24-6 \\ y=-30 \\ \\ First\text{ point \lparen-3,-30\rparen} \end{gathered}`

b. x=-2:

`\begin{gathered} y=8*(-2)-6 \\ y=-16-6 \\ y=-22 \\ \text{ Second point \lparen-2,-22\rparen} \end{gathered}`

c. x=-1:

`\begin{gathered} y=8*(-1)-6 \\ y=-8-6 \\ y=-14 \\ \text{ Third point \lparen-1,-14\rparen} \end{gathered}`

d. x=0:

`\begin{gathered} y=8*0-6 \\ y=-6 \\ \text{ Fourth point \lparen0,-6\rparen} \end{gathered}`

e. x=1:

`\begin{gathered} y=8*1-6 \\ y=8-6 \\ y=2 \\ \text{ Fifth point \lparen1,2\rparen} \end{gathered}`

f. x=2:

`\begin{gathered} y=8*2-6 \\ y=16-6 \\ y=10 \\ \text{ Sixth point \lparen2,10\rparen} \end{gathered}`

g. x=3

`\begin{gathered} y=8*3-6 \\ y=24-6 \\ y=18 \\ \text{ Seventh point \lparen3,18\rparen} \end{gathered}`

Now that we have 7 different values, we can locate these points in the coordinates plane and join them to obtain the graph: