How do you graph x - y = 4xy=4?

1 Answer
Mar 29, 2018

See a solution process below:

Explanation:

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

First Point: For x = 0x=0

0 - y = 40y=4

-y = 4y=4

color(red)(-1) * -y = color(red)(-1) * 41y=14

y = -4y=4 or (0, -4)(0,4)

Second Point: For y = 0y=0

x + 0 = 4x+0=4

x = 4x=4 or (4, 0)(4,0)

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

graph{(x^2+(y+4)^2-0.035)((x-4)^2+y^2-0.035)=0 [-10, 10, -7, 3]}

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

graph{(x - y - 4)(x^2+(y+4)^2-0.035)((x-4)^2+y^2-0.035)=0 [-10, 10, -7, 3]}