How do you graph the line $x-2y=6$ ?

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Answer 1 · 2018-03-20T12:51:31

See a solution process below:

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

First Point: For $x = 0$

$0 - 2y = 6$

$-2y = 6$

$(-2y)/color(red)(-2) = 6/color(red)(-2)$

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

Second Point: For $y = 0$

$x - (2 * 0) = 6$

$x - 0 = 6$

$x = 6$ or $(6, 0)$

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

graph{(x^2+(y+3)^2-0.035)((x-6)^2+y^2-0.035)=0 [-10, 10, -5, 5]}

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

graph{(x - 2y - 6)(x^2+(y+3)^2-0.035)((x-6)^2+y^2-0.035)=0 [-10, 10, -5, 5]}

How do you graph the line x-2y=6x-2y=6?