How do you graph #2x+y=4#?

Answer 1

Slope is -2. y-intercept is 4.

Take 2x off of both sides.

#y=-2x+4#

y-intercept is 4, and slope is -2.

Start from #x=0", "y # is 4 at that point. When #x=1", "y=2#. When #x=2", "y=0#.
Similarly, when #x=-1", " y=6#. When #x=-2", " y=8#.

graph{y=-2x+4 [-6.34, 11.68, 17.87, 18.17]}

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Answer 2

To graph the equation 2x + y = 4, you can follow these steps:

  1. Choose values for x and solve for y to find corresponding points on the graph.
  2. Plot the points on the coordinate plane.
  3. Draw a straight line passing through the plotted points.

Here are a few points you can use:

  • When x = 0, solve for y: 2(0) + y = 4 → y = 4. So, one point is (0, 4).
  • When y = 0, solve for x: 2x + 0 = 4 → x = 2. So, another point is (2, 0).

Plot these points on the graph and draw a straight line passing through them.

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Answer 3

To graph the equation 2x + y = 4, you can follow these steps:

  1. Rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
  2. Solve the equation for y to isolate it on one side.
  3. Identify the slope (m) and the y-intercept (b).
  4. Plot the y-intercept (0, b) on the y-axis.
  5. Use the slope to find another point on the line. The slope indicates how much the line rises or falls for each unit of horizontal distance.
  6. Connect the two points to draw the line.

Alternatively, you can use the x-intercept by setting y = 0 and solving for x to find another point on the line.

Once you have at least two points, you can draw a straight line through them to graph 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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