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

Question

1620 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-07T14:09:17

See a solution process below:

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]}

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