Question

Write the equation of the line that is parallel to the given segment and that passes through the point (2,-1) A. Y=1/2x-1 B. Y=1x-3 C. Y=1/2x-2 D. y=-1x+1

Answer 1

Given

We are going to find the slope. since they are parallel is the slope will be equal

`Slope=(y_2-y_1)/(x_2-x_1)`

From the graph we have two points

(-2,2) and (2,4)

`Slope=(4-2)/(2--2)=(2)/(4)=(1)/(2)`

Now

`\begin{gathered} point\text{ \lparen2,-1\rparen} \\ x=2 \\ y=-1 \\ y=mx+b \\ -1=(1)/(2)*2+b \\ -1=1+b \\ b=-2 \\ \\ \Rightarrow y=(1)/(2)x-2 \end{gathered}`

The final answer

Option C

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