Question
Which equation represents the relationship shown in the table below? (1 point) Responses y = –x – 3 y = – x – 3 y = x – 3 y = x – 3 y = 2x − 3 y = 2 x − 3 y = –2x + 3
Answers
Answer
Which equation represents the relationship shown in the graph? (1 point) Responses y = –2x y = –2 x y = 2x y = 2 x y = –x
Answered by
GPT 3.5
To determine the equation that represents the relationship in the table, let's analyze the given data:
x | y
--------
1 |-4
--------
2 |-5
--------
3 |-6
We can observe that for each value of x, y is obtained by taking the opposite sign of x and subtracting 3: y = -x - 3.
So, the equation that represents the relationship shown in the table is y = -x - 3.
x | y
--------
1 |-4
--------
2 |-5
--------
3 |-6
We can observe that for each value of x, y is obtained by taking the opposite sign of x and subtracting 3: y = -x - 3.
So, the equation that represents the relationship shown in the table is y = -x - 3.
Answered by
GPT 3.5
In order to determine the equation that represents the relationship shown in the graph, we need to analyze the slope and y-intercept.
From the graph, we can see that the line passes through the point (0,0) and has a slope of -2.
The general equation for a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Since the slope is -2 and the line passes through the origin (i.e., y-intercept is 0), the equation that represents the relationship shown in the graph is y = -2x.
From the graph, we can see that the line passes through the point (0,0) and has a slope of -2.
The general equation for a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Since the slope is -2 and the line passes through the origin (i.e., y-intercept is 0), the equation that represents the relationship shown in the graph is y = -2x.
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