Please help with system of equasions

Question

asked Mar 18, 2021 7.2k views

1 Answer

Oleksandr Hrin · Answer 1 · 2021-03-23T12:59:42+0000

The slope of line
is
(-3-1)/(2-6)=1 , so its equation is

$y-1=x-6\implies y=x-5$

The slope of line
is
(-6-3)/(5-2)=-3 , so its equation is

$y-3=-3(x-2)\implies y=-3x+9$

The two lines intersect wherever the two equations are the same:

$x-5=-3x+9\implies4x=14\implies x=\frac72\implies y=-\frac32$

The point of intersection is then
$\left(\frac72,-\frac32\right)$ .