Question

Which of the following is the correct graph for the linear function below? Y+2=1/5(x-1)

Answer 1

The equation of the linear function is given below as

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

Step 1: Get the y-intercept by putting the value of x=0

`\begin{gathered} y+2=(1)/(5)(x-1) \\ y+2=(1)/(5)(0-1) \\ y+2=-(1)/(5) \\ y=-(1)/(5)-2 \\ y=-0.2-2 \\ y=-2.2 \end{gathered}`

The coordinate of the y-intercept is

`(0,-2.2)`

Step 2:Get the x-intercept by putting the value of y=0

`\begin{gathered} y+2=(1)/(5)(x-1) \\ 0+2=(1)/(5)(x-1_{} \\ 2=((x-1))/(5) \\ (x-1)=2*5 \\ x-1=10 \\ x=10+1 \\ x=11 \end{gathered}`

Hence,

The coordinate of the x-intercept is

`(11,0)`

Therefore,

By using a graphing calculator, we will have the graph be