Question

find the equation in standard form , of the line passing through points (2,-3) and (4,2)

Answer 1

The form of linear equation that describes line is:

$y=sx+n$

First we must calculate the slope.

$s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}$

Now it looks a bit more like this:

$y=\dfrac{5}{2}x+n$

All we need now is to put in y and x from one point doesn't matter which. I'll pick A.

The equation now looks like this:

$-3=\dfrac{5}{2}\cdot2+n$

Solve for n.

$

-3=5+n \\

n=-8

$

And finally write the equation.

$f(x)=\dfrac{5}{2}x-8$

Hope this helps.

r3t40