Question

Graph the equation Y-4 = -2(x-1)

Answer 1

Given:

`y-4=-2\mleft(x-1\mright)`

To graph the function:

Let us find the intercepts.

Put x=0, we get

`\begin{gathered} y-4=-2(0-1) \\ y-4=2 \\ y=6 \end{gathered}`

Put y=0, we get

`\begin{gathered} 0-4=-2(x-1) \\ -4=-2x+2 \\ -2x=-6 \\ x=3 \end{gathered}`

Hence, the points are (0,6) and (3,0).

The graph is,