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
1 answer:
Answer:
Lines BC and F represent perpendicular lines
Step-by-step explanation:
we have
<em>Line BC</em>
the slope of the line BC is
<em>Line F</em>
the slope of the line F is
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
we have
-----> slope line BC
-----> slope line F
Find the product of their slopes
therefore
Lines BC and F represent perpendicular lines
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So we will be using form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.
Firstly, do the multiplication:
Next, subtract 16 on both sides, and your answer will be -14 = b
Using the previous info we have, our equation is y = -8x - 14