Question

How do you graph `f(x) - 1/2x - 3` by plotting points?

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 xx 0) - 3`

`y = 0 - 3`

`y = -3` or `(0, -3)`

Second Point: For `x = 2`

`y = (1/2 xx 2) - 3`

`y = 1 - 3`

`y = -2` or `(2, -2)`

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

graph{(x^2+(y+3)^2-0.04)((x-2)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}

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

graph{(y - 1/2x + 3)(x^2+(y+3)^2-0.04)((x-2)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}