Question

What are the solutions to the linear equation `y=6x-8`?

Write them as coordinate pairs.

Answer 1

`(x,y)to(4/3,0)`

Explanation:

`"to solve for "x" let y = 0"`

`6x-8=0`

`"add 8 to both sides and divide by 6"`

`x=8/6=4/3`

`"other solutions may be generated by allocating values"`
`"to "x" and evaluating "y`

`x=1toy=6-8=-2to(1,-2)`

`x=-2toy=-12-8=-20to(-2,-20)`

Answer 2

The best way to show all the solutions is to draw a graph which will be straight line. Each point on the line represents a different solution to the equation.

Explanation:

`y = 6x-8`

There are two variables in the equation which means that there is not only one solution but an infinite number of solutions.

You can choose any value for `x` and then substitute it into the equation to find the corresponding `y` value.

When `x = 0 " "rarr y =-8" "rarr (0,8)`
When `x = 1 " "rarr y =-2" "rarr (1,2)`
When `x = 2 " "rarr y =4" "rarr (2,4)`

And so on ....

The best way to show all the solutions is to draw a graph which will be straight line. Each point on the line represents a different solution to the equation.

graph{y=6x-8 [-15.33, 24.67, -14, 6]}