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

2 Answers
Mar 15, 2018

#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!

Mar 15, 2018

#-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#