Question

PLS HELP WITH GEOMETRY HW ASAP(show work)

Answer 1

- y=-x+4
- x+y-4=0--(1)

Here

- A=B=1 and C=-1
- Q(2,6) is the point

Distance

[tex]\\ \rm\Rrightarrow \dfrac{|Ax+By+C|}{\sqrt{A^2+B^2}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{|1(2)+1(6)-4|}{\sqrt{1+1}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{8-4}{\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow 2\sqrt{2}units[/tex]