Answer:
(-2,9) ,(4,-3)
Step-by-step explanation:
Given the expression 2x+y=5
We are required to look for values of x and y such that when substituted into the given expression will result in the number 5
The Pairs are (-2,9) ,(4,-3)
Let us plug in the values to check
1. (-2,9)
2(-2)+9=5
-4+9=5
5=5 true
2. (4,-3)
2(4)+(-3)=5
8-3=5
5=5 true
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6) The graph in the attached figure
Step-by-step explanation:
Part 1) we have


The equation of the line into point slope form is equal to

substitute



Part 2) we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so

the slope of the line 1 is equal to

Find the slope m2


Find the equation of the line 2
we have


The equation of the line into point slope form is equal to

substitute



Part 3) we have

The equation of the line into point slope form is equal to

substitute



Part 4) we have

-----> y-intercept
we know that
The equation of the line into slope intercept form is equal to

substitute the values

Part 5) we have that
The slope of the line 4 is equal to 
so
the slope of the line perpendicular to the line 4 is equal to

therefore
in this problem we have


The equation of the line into point slope form is equal to

substitute



Part 6)
using a graphing tool
see the attached figure
Let's rewrite the expression as

So, if
, you may divide both sides by
, the equation becomes
, and the only solution is
, which means that this is not an identity (an indentity is tautologically true, no matter the value of x).
If instead
, you are multiplying both sides by zero, so the equation becomes

So, it doesn't matter which value for x you choose, because you will always end up with
, which is obviously always true.
Answer:
1/4
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