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).
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
Not all linear equations can be directly expressed in point-slope form because this form requires a specific point on the line and the slope. However, some linear equations, like vertical lines, do not have a defined slope (infinite slope), making it impossible to represent them in point-slope form. Therefore, while most non-vertical linear equations can be converted to point-slope form, vertical lines present an exception.
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.
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
Not all linear equations can be directly expressed in point-slope form because this form requires a specific point on the line and the slope. However, some linear equations, like vertical lines, do not have a defined slope (infinite slope), making it impossible to represent them in point-slope form. Therefore, while most non-vertical linear equations can be converted to point-slope form, vertical lines present an exception.
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.