Line BC has an equation of a line Y equals 2X +3 and F has an equation of a line Y equals -1/2 x+4 these two equations represent

Mathematics

1 answer:

Masja [62]3 years ago

6 0

Answer:

Lines BC and F represent perpendicular lines

Step-by-step explanation:

we have

Line BC

$y=2x+3$

the slope of the line BC is $m=2$

Line F

$y=-(1/2)x+4$

the slope of the line F is $m=-1/2$

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

$m1*m2=-1$

we have

$m1=2$ -----> slope line BC

$m2=-1/2$ -----> slope line F

Find the product of their slopes

$(2)(-1/2)=-1$

therefore

Lines BC and F represent perpendicular lines

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