How do you graph #2x-y=6# by plotting points?

Answer 1

#"see explanation"#

#"one way is to find the intercepts, that is where the graph"# #"crosses the x and y axes"#
#• " let x = 0, in the equation for y-intercept"#
#• " let y = 0, in the equation for x-intercept"#
#x=0rArr0-y=6rArry=-6larrcolor(red)"y-intercept"#
#y=0rArr2x-0=6rArrx=3larrcolor(red)"x-intercept"#
#"plot "(0,-6)" and "(3,0)#
#"draw a straight line through them for graph"# graph{(y-2x+6)((x-0)^2+(y+6)^2-0.04)((x-3)^2+(y-0)^2-0.04)=0 [-28.88, 28.84, -14.42, 14.46]}
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Answer 2

To graph the equation 2x - y = 6 by plotting points, follow these steps:

  1. Choose values for x.
  2. Use the equation to find the corresponding values of y.
  3. Plot the points (x, y) on a coordinate plane.
  4. Connect the points to form a straight line.

For example, let's choose x = 0, 2, and 4:

When x = 0: 2(0) - y = 6 0 - y = 6 y = -6 So, the point (0, -6) is on the line.

When x = 2: 2(2) - y = 6 4 - y = 6 y = -2 So, the point (2, -2) is on the line.

When x = 4: 2(4) - y = 6 8 - y = 6 y = 2 So, the point (4, 2) is on the line.

Plotting these points and connecting them forms the graph of the equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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