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

Mar 15, 2018

$x - 6 y = - 60$



#### Explanation:


The standard form of an equation is $A x + B y = C$

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.

$y = \frac{1}{6} x + 10$

$6 y = x + 60$

Switch sides:

$x + 60 = 6 y$

$x - 6 y + 60 - 60 = 6 y - 6 y - 60$

Simplify:

$x - 6 y = - 60$



That's it!

Mar 15, 2018

$- x + 6 y = 60$

#### Explanation:

The equation of a straight line in Standard Form is:

$A x + B y = C$
Where $A , B \mathmr{and} C$ are integers.

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

$y = \frac{1}{6} x + 10$
Where slope $= \frac{1}{6}$ and $y -$intercept $= + 10$

We can rewrite this equation as:

$6 y = x + 60$

Then reorder the terms as:

$- x + 6 y = 60$

Which is our equation in Standard Form; $A = - 1 , B = + 6 \mathmr{and} C = + 60$