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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).

Q: When writing linear equations how do you determine which form of a line to use?

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Equations are not linear when they are quadratic equations which are graphed in the form of a parabola

They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.

Ax+By=C

Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.

The equations are equivalent.

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Equations are not linear when they are quadratic equations which are graphed in the form of a parabola

They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.

Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.

Ax+By=C

Simultaneous equation

Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.

Linear equations come in the form y=mx+b or y=mx-b, where x and y are the variables x and y and b is a constant (like 3). All other equations are non-linear. Linear equations has a power of 1! as long as the X has a power of 1, it is a linear equation.

The equations are equivalent.

makes it very easy to graph linear equations

If we are talking about a linear equation in the form y = mx + b, then all linear equations are functions. Functions have at most one y value to every x value (there may be more than one x value to every y value, and some x- and y-values may not be assigned at all); all linear equations satisfy this condition.Moreover, linear equations with m ≠ 0 are invertible functions as well, which means that there is at most one x-value to every y-value (as well as vice versa).

There is only one type of solution if there are two linear equations. and that is the point of intersection listed in (x,y) form.

A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.