#1
[tex]\\ \sf\longmapsto m=\dfrac{-3-1}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}[/tex]
Slope of the line perpendicular to it (Reciprocal of line slope)
[tex]\\ \sf\longmapsto \dfrac{-3}{2}[/tex]
Option B
#2
Attached(1)
#3
Attached (2)
#4
Attached (3)
#5
[tex]\\ \sf\longmapsto Slope=m=\dfrac{3-7}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}[/tex]
Put in slope intercept form
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 3=\dfrac{-2}{3}(3)+b[/tex]
[tex]\\ \sf\longmapsto 3=b-2[/tex]
[tex]\\ \sf\longmapsto b=3+2=5[/tex]
Equation of the line:-
[tex]\\ \sf\longmapsto y=\dfrac{-2}{3}x+5[/tex]
Option C
