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

Slope is -2. y-intercept is 4.

Take 2x off of both sides.

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

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

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

- Choose values for x and solve for y to find corresponding points on the graph.
- Plot the points on the coordinate plane.
- 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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To graph the equation 2x + y = 4, you can follow these steps:

- Rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
- Solve the equation for y to isolate it on one side.
- Identify the slope (m) and the y-intercept (b).
- Plot the y-intercept (0, b) on the y-axis.
- 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.
- 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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