The End Of Module 2

The point (0, 0) is a coordinate on the line because it satisfies the equation of the line. The equation of a line can be written as y = mx + b, where m is the slope and b is the y-intercept. Since the equation of the line is not given, we can't calculate the slope or the y-intercept. However, we can see that the point (0, 0) lies on the line because the x-coordinate is 0 and the y-coordinate is also 0.

The point located at (3, -3) is represented by the coordinates (3, -3).

Point X represents the coordinate (-4, -3) on the coordinate plane. This means that the x-coordinate of point X is -4 and the y-coordinate is -3.

The point located on the origin is O. The origin is the point where the x and y axes intersect, and it has coordinates (0,0). The other points mentioned in the question, Z, W, and X, are not located on the origin.

The y-intercept is the point where the graph intersects the y-axis. In this case, the graph intersects the y-axis at the point (0, 6). This means that when x is 0, the value of y is 6. Therefore, the y-intercept is 6.

The red line has the equation y = -2 because it is a horizontal line that passes through the y-axis at -2. The blue line does not have the equation y = -2 because it is a diagonal line and does not have a constant y-value of -2. Therefore, the correct answer is the red line.

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In the equation y = 9x + 2, the number 9 represents the slope. The slope of a linear equation is the coefficient of the x term, and in this equation, the coefficient of x is 9. Therefore, 9 is the correct answer.

In the equation y = mx + b, the variable b represents the y-intercept. The y-intercept is the point where the graph of the equation crosses the y-axis. In this equation, b is the constant term that determines the vertical position of the line on the y-axis when x = 0.

In the equation y = mx + b, the variable m represents the slope. The slope is the rate of change between the y and x variables in a linear equation. It determines the steepness or incline of the line. In this equation, m is multiplied by x, indicating that it is the coefficient of x and therefore represents the slope.

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The graph shows a straight line that passes through the point (0,2) and has a slope of 1. The equation y = x + 2 represents a line with a slope of 1 and a y-intercept of 2, which matches the given graph. The other equations do not have the same slope and y-intercept as the graph, so they are not the correct answer.

The point (-1, 6) is in the SECOND QUADRANT because it has a negative x-coordinate (-1) and a positive y-coordinate (6). In the Cartesian coordinate system, the second quadrant is located above the x-axis and to the left of the y-axis. Points in this quadrant have negative x-coordinates and positive y-coordinates. Therefore, (-1, 6) satisfies these conditions and is in the second quadrant.

The equation y = x represents a linear function where the value of y is equal to the value of x. This means that for every input value of x, the output value of y will be the same. The graph of this equation would be a straight line passing through the origin with a slope of 1. Therefore, the equation and the graph are directly related and go together. Hence, the correct answer is True.

The y-intercept represents the point where the line crosses the y-axis. In the equation y = -3x - 8, the number -8 is the coefficient of the y-term. Therefore, -8 represents the y-intercept.

The given answer is true because the graph of y = x is a straight line passing through the origin with a slope of 1. The y-coordinate of any point on the graph is equal to its x-coordinate. Therefore, the statement "This is the graph for y = x" is correct.

The given equation is y = -x + 2, which represents a straight line with a negative slope of -1 and a y-intercept of 2. However, without any information about the graph or any specific points, it cannot be determined whether the graph matches the equation or not. Therefore, the answer is False.

The equation y = 2x - 3 corresponds to the given graph because it has a slope of 2, which means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 2. The equation also has a y-intercept of -3, which is the point where the line crosses the y-axis. This matches the point where the graph intersects the y-axis. Therefore, y = 2x - 3 is the correct equation for the given graph.

The table provided matches the given graph. The x-values in the table (-2, -1, 3) correspond to the x-values on the graph, and the y-values in the table (-1, 1, 0) correspond to the y-values on the graph. Therefore, the statement "This table matches this graph" is true.

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