The line y = mx + c has a slope of m.
Parallel line:
A parallel line will also have a slope of m, and should be of the form
y = mx + k
Because the line passes through the point (a,b), therefore
ma + k = b
k = b - ma
The equation of a parallel line is
y = mx + b - ma
= m(x-a) + b
Perpendicular line:
A perpendicular line will have a slope of -1/m, because the product of slopes should be -1.
The equation for a perpendicular line is of the form
y = -(1/m)x + k
Because the line passes through (a,b), therefore
-(1/m)a + k = b
k = b + a/m
The equation for a perpendicular line is
y = -(x/m) + b + a/m
= -(1/m)(x-a) + b
Answer:
Parallel line:

Perpendicular line:
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▹ Answer
<em>16q + 4</em>
▹ Step-by-Step Explanation
10q + 5 + 6q - 1
10q + 6q + 5 - 1
16q + 4
Hope this helps!
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Brainliest is greatly appreciated!
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Answer:
angle 2 = 37º
Step-by-step explanation:
When two lines intersect they make vertical angles, which are angles directly across from another. Vertical angles are always congruent.
The answer to your question should be EF
Answer:

or

Step-by-step explanation:
The expression
can be simplified by first writing the fraction under one single radical instead of two.

5/15 simplifies because both share the same factor 5.
It becomes 
This can simplify further by breaking apart the radical.

A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.
