2x - 3y = 6 is a linear equation in two variables.
To convert this equation in slope-intercept form:
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2x/3 - 2 ⇒ slope-intercept form
Where m (slope) = -2/3 and y-intercept = -2
To solve for x and y, there must be another set of linear equation.
A set of linear equation is called system of linear equation.