Question

How do you graph `y=1/2x+1/4`?

Answer 1

See a solution process below:

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point:

For `x = 0`

`y = (1/2 * 0) + 1/4`

`y = 0 + 1/4`

`y = 1/4` or `(0, 1/4)`

Second Point:

For `x = 1/2`

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

`y = 1/4 + 1/4`

`y = 2/4`

`y = 1/2` or#(1/2, 1/2)

We can next graph the two points on the coordinate plane:

graph{(x^2+(y-0.25)^2-0.00075)((x-0.5)^2+(y-0.5)^2-0.00075)=0 [-2, 2, -1, 1]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y-0.5x-0.25)(x^2+(y-0.25)^2-0.00075)((x-0.5)^2+(y-0.5)^2-0.00075)=0 [-2, 2, -1, 1]}