Question

How do you graph `y= (1/2)x`?

Answer 1

see explanation

Explanation:

By choosing suitable values for x and calculating the corresponding values of y.

The equation of a straight line in the form y =mx , as is the case here passes through the origin (0 , 0 ) hence this is 1 point.

Since the equation is `y = 1/2 x " choose even values of x."`

let x = 2 : `y = 1/2xx2 = 1 " so (2,1) is a 2nd point"`
let x = 4 : `y = 1/2xx4 = 2" so (4,2) is a 3rd point"`
You can choose negative values.

let x = - 2 : `y = 1/2 xx -2 = -1 " another point (-2 , - 1 )"`

Now plot say, 3 of these points and draw a straight line through them.
Here is the graph of `y = 1/2 x`
graph{1/2x [-10, 10, -5, 5]}