Question

Graph each line using intercepts 1/4 x + 2y =2

Answer 1

The given equation is,

`(1)/(4)x+2y=2`

It can be rewritten in the form of y=mx+c, where c is the y intercept.

Hence,

`\begin{gathered} 2y=-(1)/(4)x+2 \\ y=(-1)/(4*2)x+(2)/(2) \\ y=(-1)/(8)x+1 \end{gathered}`

Put different values for x and find value of y.

When x=0, y=1.

When x=1,

`y=(-1)/(8)+1=(7)/(8)`

The graph is,