Explanation:
Slope-intercept form of a line is y = mx + b.
To convert to standard form, simply solve for b.
-mx + y = b
If m and b are fractions, you can simplify by multiplying by the common denominator. For example:
y = ½ x + ⅔
-½ x + y = ⅔
(-½ x + y) × 6 = ⅔ × 6
-3x + 6y = 4
Point-slope form of a line is y − y₁ = m (x − x₁).
To convert, first distribute the m.
y − y₁ = mx − mx₁
Then move the variables to one side and the constants to the other.
-mx + y = y₁ − mx₁
And again, you can simplify any fractions by multiplying by the common denominator.