Where a, b, and c are integers.

Slope-intercept form has

y = mx + b

To convert slope-intercept form to standard form, subtract mx from both sides of the equation.

-mx + y = b

If m is a fraction, multiply the equation by its denominator.

Example

y = 2/3x + 6 (slope-intercept form)

-2/3x + y = 6 (after the subtraction of 2/3x)

-2x + 3y = 18 (standard form, after multiplication by 3)

Slope-intercept form has

y = mx + b

To convert slope-intercept form to standard form, subtract mx from both sides of the equation.

-mx + y = b

If m is a fraction, multiply the equation by its denominator.

Example

y = 2/3x + 6 (slope-intercept form)

-2/3x + y = 6 (after the subtraction of 2/3x)

-2x + 3y = 18 (standard form, after multiplication by 3)