Answer:
Lines BC and F represent perpendicular lines
Step-by-step explanation:
we have
Line BC
[tex]y=2x+3[/tex]
the slope of the line BC is [tex]m=2[/tex]
Line F
[tex]y=-(1/2)x+4[/tex]
the slope of the line F is [tex]m=-1/2[/tex]
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
[tex]m1*m2=-1[/tex]
we have
[tex]m1=2[/tex] -----> slope line BC
[tex]m2=-1/2[/tex] -----> slope line F
Find the product of their slopes
[tex](2)(-1/2)=-1[/tex]
therefore
Lines BC and F represent perpendicular lines
