Standard+Form

= Linear Relations: Standard Form =

This is the general form used to show the equation of a line, when given a point on the line and the slope.

The Standard Form equation can be shown as:

Ax + By + C = 0
For an equation in standard form, //A//, //B//, and //C// are integers, //A// and //B// are both not 0, and //x// and //y// are real numbers.

Standard form is usually found by substituting known values into DELTA y/ DELTA x = m, then moving around the variables and known values. For example:

//QUESTION:// Find an equation of the line that pass es through D (1,4) with slope m=3. Write the equation in standard form. State the values of A, B, and C.

 //SOLUTION:// y2 – y1 / x2-x1 = //m//PD y - 4 / x - 1 = 3 (x - 1) X y - 4/ x - 1 = (x - 1) X 3 y - 4 = 3(x - 1) y - 4 = 3x - 3 y - 1 = 3x -3x + y - 1 = 0 3x – y + 1 = 0

 In the equation 3x - y + 1 = 0, //A = 3//, //y = -1//, and //C = 1//. 