Question

Can you please help me

Answer 1

Given the function :

`y=(1)/(2)x-3`

We will find the correct option using the intercepts

X - intercept is the value of x when y = 0

So, when y = 0

`\begin{gathered} 0=(1)/(2)x-3 \\ 3=(1)/(2)x \\ \\ x=6 \end{gathered}`

Y - intercept is the value of y when x = 0

So, when x = 0

`\begin{gathered} y=(1)/(2)\cdot0-3 \\ \\ y=-3 \end{gathered}`

So, the graph if the line must pass through the points :

( 6 , 0 ) and ( 0 , -3 )

We will check the graphs to find the correct option

So, the last graph

Which is as the following :