Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2. A) y = 1/2 x + 5 
B) y = 1/2 x - 3 
C) y = 1/2 x - 5 
D) y = 1/2 x + 3


Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2. 
A) y = 1/2 x + 5
 
B) y = 1/2 x - 3
 
C) y = 1/2 x - 5
 
D) y = 1/2 x + 3

we only need to put the values and find the equation

y=\frac{1}{2}*x+5

-4=\frac{1}{2}*2+5

-4=6

False

y=\frac{}{}*x-3

y=\frac{1}{2}*x-3

-4=\frac{1}{2}*2-3

-4=-2

False

y=\frac{1}{2}*x-5

-4=\frac{1}{2}*2-5

-4=-4

True

y=\frac{1}{2}*x+3

-4=\frac{1}{2}*2+3

-4=4

False

\boxed{\boxed{\therefore~the~equation~that~represents~the~line~is~~C}}

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 \left \{ {{y=-4}\atop{x=2}}\right. \\
\\
A)\\
-4=\frac12 \cdot 2+5\\
-4=1+5\\
-4=6\\
No\\
\\
B)\\
-4=\frac12 \cdot 2-3\\
-4=1-3\\
-4=-2\\
No\\\\
C)\\
-4\frac12 \cdot 2-5\\
-4=1-5\\
-4=-4\\
Yes\\
\\
D)\\
-4=\frac12 \cdot 2+3\\
-4=1+3\\
-4=4\\
No\\
\\
Answer:C

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