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
It is pretty easy to eliminate the wrong answers by trying the answers in the equations.
a. 7 times 30 is way more than 4
c. 6 times 226 is way more than 172, even after subtracting 64
d. 7 times -74 is way less than 4
The appropriate choice is
... b. x=4, y=30
You can check it with your graphing calculator.
_____
Since you have an expression for y, you can substitute that into the second equation:
... -2x + 6(2+7x) = 172 . . . . substitute for y
... 40x = 160 . . . . . . . . . . . . eliminate parentheses, subtract 12, collect terms
... x = 4 . . . . . . this is sufficient to help you locate the correct answer
