How do you graph y=-2x-3y=2x3?

1 Answer
Mar 20, 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

y = (-2 * 0) - 3y=(20)3

y = 0 - 3y=03

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

Second Point: For x = -1x=1

y = (-2 * -1) - 3y=(21)3

y = 2 - 3y=23

y = -1y=1 or (-1, -1)(1,1)

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

graph{(x^2+(y+3)^2-0.035)((x+1)^2+(y+1)^2-0.035)=0 [-10, 10, -5, 5]}

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

graph{(y + 2x + 3)(x^2+(y+3)^2-0.035)((x+1)^2+(y+1)^2-0.035)=0 [-10, 10, -5, 5]}