Find the common difference, d, in the following arithmetic sequence.
1 answer:
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Answer: The line that contains the points A and B
Step-by-step explanation: In this problem, we're asked to graph the line that contains the point (3,4) and has a slope of -2.
We would start things off by plotting our point, (3,4).
If you need a review on plotting points, take a look below.
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<u>The first number in our point represents the x coordinate or how far we move to the left or right from the origin.</u>
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<u>The second number in our point represents the y coordinate or how far we move up or down from the origin.</u>
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So we go over 3 units and up 4 units and call that point A.
In order to graph a line however, we need two points
and that's where our slope comes in.
Remember that <em>slope</em> means <em>rise</em> over <em>run</em>. So from our original point that we have already plotted, we rise -2 units and run 1 unit.
When you have a slope that's an integer like -2, just put it over 1.
After rising 2 units and running 1 unit, plot your second point
which I have plotted as point B.
You could if you wanted to continue to plot more and more points but we just need at least two points to graph a line.
So our answer is then the line that contains the points A and B.
