What is the slope of the line passing through these two points? ( 2, 5 ) and ( 3, 3) . Write this line in point-slope form.

Question

asked Mar 23, 2024 3.3k views

1 Answer

Nei · Answer 1 · 2024-03-28T23:26:35+0000

Now, By slope formula,

$\sf \large \: m = ( y _(2) - y_(1) )/( x_(2) - x_(1) )$

Putting the values,

$\sf \: m = (3 - 5)/(3 - 2)$

$\sf \: m = ( - 2)/(1) \: \:i.e \: \: m = - 2$

Let us now find the equation in slope intercept or point slope form

$\sf(y - y_(1) ) = m(x - x_(1))$

$\sf(y - 5) = - 2(x - 2)$

$\sf \: y - 5= - 2x + 4$

$\sf \: y = - 2x + 4 - 5$

$\boxed{\sf \: y = - 2x - 1}$