Question

20-3y=0=54+2z is it straight line if then how?​

Answer 1

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