An equation is linear if its graph forms a straight line. This will happen when the highest power of x is “1”. Graphically, if the equation gives you a straight line thenit is a linear equation. Else if it gives you a circle, or parabola or any other conic for that matter it is a quadratic or nonlinear equation.

Linear FunctionA linear function is a relation between two variables that produces a straight line when graphed. Non-Linear FunctionA non-linear function is a function that does not form a line when graphed.

To see if a table of values represents a linear function, check to see if there’s a constant rate of change. If there is, you’re looking at a linear function!

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it.

When the equation has a homogeneous variable (i.e. only one variable), then this type of equation is known as a Linear equation in one variable….Formulas.

In short, the degree of linear equations is always one. For example, 3x + 10 = z, has a degree 1 so it is a linear equation. Linear equations are also called first degree equations, as the exponent on the variable is 1. “Degree” is also called “Order” sometimes.

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The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y).

The general form of linear equation jx + k = 0. Here j and k are two integers and the solution of x can be only one. For Example, 8x + 7 = 10 is an equation that is linear and has only a single variable in it. The only solution to this equation would be x = ⅜.

The Standard Form for a linear equation in two variables, x and y, is usually given as Ax + By = C where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1.

The equation of a circle comes in two forms: 1) The standard form: (x – h)2 + (y-k)2 = r2. 2) The general form : x2 + y2 + Dx + Ey + F = 0, where D, E, F are constants. If the equation of a circle is in the standard form, we can easily identify the center of the circle, (h, k), and the radius, r .

Table of Cardinal versus Ordinal Numbers

Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. A, B, C are integers (positive or negative whole numbers) No fractions nor decimals in standard form. “Ax” term is positive.

Standard Form: the standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.