2x + 3y = 6
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It does not matter because they are equivalent. You can always convert from a slope-intercept form to a standard linear form (and vice versa).
Straight line equations have two variables in the form of x and y
There is more than one "standard form". If the equation is not already solved for "y", solve it for "y". In that case, you'll get an equation of the following form (known as "slope-intercept form"): y = mx + b Where "m" is the slope of the line, and "b" is the y-intercept (the point where the line intercepts the y-axis).
When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2
You can't. Math is not an algebraic expression. Simplifying an equation, however, can take multiple forms. Sometimes simplify simply means to solve an equation. Other times, it can mean to bring an equation into a standard form, such as with line equations, or quadratic equations.