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choose the equation below that represents the line passing through the point (2, −4) with a slope of one half. y = one halfx 5 y = one halfx − 3 y = one halfx − 5 y = one halfx 3

Verified Answer :

caylus

Hello,

One half may be written 0.5=1/2=12^(-1).

y+4=(x-2)1/2==>y=x/2-5

Answer C

Answer:

\(y=\frac{1}{2}x-5\)

Therefore, option 3 is correct.

Step-by-step explanation:

We have given a slope and one point we need to find the equation with given point and slope

Using the formula:

y = mx+b

Where m is the slope

And x,y is the given point On substituting the values we get:

Here, \(m=\frac{1}{2},x=2,y=-4\)

\(-4 =\frac{1}{2}(2)+b\)

\(1+b=-4\)

\(\Rightarrow b=-5\)

Now, plugging b in the equation y =mx+b we get the required equation so we get:

\(y=\frac{1}{2}x-5\)

Therefore, option 3 is correct.

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