Question

What is the equation in standard forms using only integers? y=1/6x+10

Answer 1

`x-6y=-60`

``

Explanation:

``
The standard form of an equation is `Ax + By = C`

In this kind of equation, `x` and `y` are variables and `A`, `B`, and `C` are integers.

To convert the slope-intercept form of given equation, multiply both sides by 6 to remove fraction from the right hand side and then bring the variable `x` on left hand side.

`y=1/6x+10`

`6y=x+60`

Switch sides:

`x+60=6y`

`x-6y+60-60=6y-6y-60`

Simplify:

`x-6y=-60`

``

That's it!

Answer 2

`-x+6y = 60`

Explanation:

The equation of a straight line in Standard Form is:

`Ax+By =C`
Where `A, B and C` are integers.

In this example, we have the equation in Slope and Intercept form.

`y = 1/6x +10`
Where slope `=1/6` and `y-`intercept `=+10`

We can rewrite this equation as:

`6y = x + 60`

Then reorder the terms as:

`-x +6y =60`

Which is our equation in Standard Form; `A=-1, B=+6 and C=+60`