Question

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

Answer 1

Lines BC and F represent perpendicular lines

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

so

`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