Question

Постройте график линейной функции в соответсвующей системе координат y=-x-3

Answer 1

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Answer 2

Graph of the Linear Function y = -x - 3

To graph the linear function y = -x - 3 in the corresponding coordinate system, we can use the given equation to find several points on the graph and then plot them.

The given linear function is in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope m is -1 and the y-intercept b is -3.

Plotting the Points

We can use the slope-intercept form to find two points on the graph. Let's choose two values for x and calculate the corresponding y values using the equation y = -x - 3:

For x = -6: - y = -(-6) - 3 = 3 - 3 = -1 - So, the point is (-6, -1)

For x = 3: - y = -(3) - 3 = -3 - 3 = -6 - So, the point is (3, -6)

Graph

Now, let's plot these two points on the coordinate system and draw a straight line passing through them.

The graph of the linear function y = -x - 3 will be a straight line passing through the points (-6, -1) and (3, -6).

This graph represents the linear function y = -x - 3 in the corresponding coordinate system.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.