Question

Graph the line with explanation.x= 1/2y- 1/2

Answer 1

Given the equation of the line:

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

To graph the line, we will assume two values for y and find the corresponding values of x

so, when y = 3,

`x=(1)/(2)\cdot3-(1)/(2)=(3)/(2)-(1)/(2)=1`

And when y = -1

`x=(1)/(2)\cdot-1-(1)/(2)=-(1)/(2)-(1)/(2)=-1`

So, the line passes through the points (-1, -1) and (1, 3)

Connect the points and extend the line from both ends

So, the graph of the line will be as shown in the following picture: