Question

a linear equation ax + by + c = 0 has terms​

Answer 1

Answer:

Step-by-step explanation:

IT IS THE STANDARD FORM WHERE A,B,C ARE REAL NUMBERS

Answer 2

Answer:

Step-by-step explanation:

If you have 2 points, for example:

P( 2, 1 ); Q( 5, 7 )

You can find the linear equation of the line that passes through those points in the form:

Ax + By + C = 0

in one step by simply using the formula:

(y1 – y2)x + (x2 – x1)y + (x1y2 – x2y1) = 0

OR, we can write this as (easier to read!)

(py – qy)x + (qx – px)y + (pxqy – qxpy) = 0

Let’s try it:

   Take Point1=( 2, 1 )

   Take Point2=( 5, 7 )

   Find the LINEAR EQUATION of the line that passes through the points (2,1) and (5,7). Your answer must be in the form of Ax + By + C = 0.

   Using the equation:

   (y1 – y2)x + (x2 – x1)y + (x1y2 – x2y1) = 0

   We’ll just plug numbers in:

   (1 – 7)x + (5 – 2)y + ( (2 x 7) – (5 x 1) ) = 0

   -6x + 3y + (14 – 5) = 0

   -6x + 3y + 9 = 0

   Factoring a -3 out:

   -3( 2x – y – 3 ) = 0

   Dividing both sides by -3:

   2x – y – 3 = 0

   And that’s the answer.

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