bearing in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
so, let's multiply both sides by the LCD of 7 to do away with the denominators
[tex]\bf y=6x+\cfrac{3}{7}\implies \stackrel{\textit{multiplying both side by the }\stackrel{LCD}{7}}{7(y)=7\left( 6x+\cfrac{3}{7} \right)}\implies 7y=42x+3\\\\\\-42x+7y=3\implies 42x-7y=-3[/tex]
Formula for standard form: ax+by=c.
y=6x+3/7 is in slope-intercept form.
Move the 6x to the left, which makes it -6x.
-6x+y=3/7!!
