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Drag graph to show a graph of each equation in the table

Drag graph to show a graph of each equation in the table-example-1

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Answer:

see below

Explanation:

The equations you have are in "slope-intercept form." The slope of the line is the coefficient of x. The y-intercept is the added constant.

Both the slopes and intercepts take on the values ±2 and ±1/2. This requires that you understand what each value looks like on the graph.

A slope of 2 will have a rise of 2 units for each run of 1 unit to the right. A graph with a slope of 2 will have a relatively steep line going upward to the right. (A slope of -2 will be a steep line going downward to the right.)

Similarly, a slope of 1/2 will have a rise of 1 unit for each two units to the right. A line with this slope will go up to the right with a less-steep rise. There is only one graph in the group with a slope of 1/2. Of course, a line with a slope of -1/2 will have a shallow angle down to the right.

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The y-intercept is where the line crosses the y-axis (the dark vertical line in the middle of the graph, labeled y). The y-intercepts at ±1/2 are somewhat difficult to determine for the steep lines. (A careful look is needed.) However, the y-intercepts of ±2 are easily seen for the shallow lines.

The various graphs are sorted in the attachment.

Drag graph to show a graph of each equation in the table-example-1
User ShanZhengYang
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