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The standard form for a line is Ax + By = C where A, B, and C are some integers. Given a line in any other form, we simply combine the x terms, combine the y terms, combine the constant terms, and move the algebraic terms to one side and the constant to another.
For example, to change the equation 2y + 3x = 3y - 4 + 5x into standard form, we first combine like terms:
0 = y + 2x - 4
And then move the constant term to its own side:
4 = y + 2x
2x + y = 4.
If there are fractions present in the equation, multiply by the least common factor to eliminate it while still expressing the equation in its simplest form.
For example, 2x + 1/2 y = 2/3
Should be changed to:
12x + 3y = 4.
This expresses the equation without fractions, and without the redundancy of a common term throughout the equation.
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What is the standard form of a linear equation?
Ax + By = C
What is the standard form of linear function?
The standard form of a linear equation in n variables is a1x1 + a2x2 + ... + anxn = b. The ai and b are constants and the xi are variables.
How do you find the x and y intercepts of a linear equation in standard form?
The y-intercept is c in the standard form. The x-intercept is -c/m.
Can linear equation not be rewritten in slope-intercept form?
A linear equation can be written in many different forms. Two forms are used frequently. ax+by=c is standard form as y=mx+b is slope intercept form.
Is 9x- 3y equals 27 a standard form of linear equation?
It is a straight line equation that can be simplified to: y = 3x-9
What is standard form linear equation's?
A standard form of a linear equation would be: ax + by = c
How do you do standard form of a linear equation if there is not a c?
aX+bY+cZ=0 Is a type of linear equation.
What is the standard form of a linear equation?
Ax + By = C
The standard form of linear equation?
Ax+By=C
What is the standard from of a linear equation?
A linear equation is that equation in which a variable or variables has exponent equal to 1. For example, standard form of linear equation in one variable: a1x + a2x +.......+ anx = c Standard form of a linear equation : a1x + a2x +.........+ anx = c e.g. 4x + 3 =6, 3x + 6y + 5z = 2 etc.
How would you write 0.3y plus 1.2 equals 0.4x in standard form?
Identify a linear equation in standard formUse the properties of equality to write a linear equation in standard formDetermine solutions of a linear equation given in standard formGraph a linear equation given in standard form
What is the standard form of linear function?
The standard form of a linear equation in n variables is a1x1 + a2x2 + ... + anxn = b. The ai and b are constants and the xi are variables.
How do I write an equation in standard form with integer coefficients?
The answer will depend on the form of the equation. Whether it is an equation in one or more variables, whether it is linear or polynomial, there are different standard forms for exponential equations.
Is 2x equals 7 in standard form or slope-intercept form?
Standard. You need a linear equation in two variables for slope-intercept form.
How would you write an equation of a line in standard form?
the formula for standard form is Ax+By=C
What is an equation in standard form?
A linear equation in standard form will be Ax + By = C or in some books Ax + By + C = 0 where A, B, and C are real numbers such as 3x + 3y = 18
How do you write a standard form linear equation given two points?
The standard form of a linear equation is y = mx + bwhere m is the slop of the line, and b is the y intercept.If you have two points (x1,y1) and (x2,y2), you can get the slope with the following formula:m = (y2-y1)/(x2-x1)if you plug this number in to the equation you can then plug in any (x,y) point on the line to solve for b.
