How do you graph the line $x = - 6 y$ $x= -6y$ ?

Question

6885 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-23T22:53:11

See a solution process below:

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

First Point: For $y = 0$ $y = 0$

$x = - 6 \cdot 0$ $x = -6 * 0$

$x = 0$ $x = 0$ or $(0, 0)$ $(0, 0)$

Second Point: For $y = 1$ $y = 1$

$x = - 6 \cdot - 1$ $x = -6 * -1$

$x = 6$ $x = 6$ or $(6, - 1)$ $(6, -1)$

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

graph{(x^2+y^2-0.025)((x-6)^2+(y+1)^2-0.025)=0 [-10, 10, -5, 5]}

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

graph{(x+6y)(x^2+y^2-0.025)((x-6)^2+(y+1)^2-0.025)=0 [-10, 10, -5, 5]}

How do you graph the line x=−6yx= -6y?