Question

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

Answer 1

Given the equation of the line:

$x=\frac{1}{2}y-\frac{1}{2}$

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

so, when y = 3,

$x=\frac{1}{2}\cdot3-\frac{1}{2}=\frac{3}{2}-\frac{1}{2}=1$

And when y = -1

$x=\frac{1}{2}\cdot-1-\frac{1}{2}=-\frac{1}{2}-\frac{1}{2}=-1$

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: