Question

How to find equation of line passing through the points (x,y)​

Answer 1

First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.

Linear function has a form of,

$y=mx+n$

Then calculate the slope m using the coordinates of two points. Let say A(x1, y1) and B(x2, y2),

$m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}$

Now pick a point either A or B and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point A.

$y_1=mx_1+n$

From here you solve the equation for n,

$y_1=mx_1+n\Longrightarrow n=y_1-mx_1$

So you have slope m and variable n therefore you can write down the equation of the line,

$f(x)=m_{slope}x+n_{variable}$

Hope this helps.

r3t40