Question

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

Answer 1

Hello,

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

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

Answer C

Answer 2

`y=(1)/(2)x-5`

Therefore, option 3 is correct.

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=(1)/(2),x=2,y=-4`

`-4 =(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=(1)/(2)x-5`

Therefore, option 3 is correct.