Question

How do you graph the equation `y=1/2x+6`?

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) + 6`

`y = 0 + 6`

`y = 6` or `(0, 6)`

Second Point: For `x = 2`

`y = (1/2 * 2) + 6`

`y = 1 + 6`

`y = 7` or `(2, 7)`
We can next plot the two points on the coordinate plane:

graph{(x^2+(y-6)^2-0.075)((x-2)^2+(y-7)^2-0.075)=0 [-20, 20, -10, 10]}

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

graph{(y - (1/2)x-6)(x^2+(y-6)^2-0.075)((x-2)^2+(y-7)^2-0.075)=0 [-20, 20, -10, 10]}