SOLUTION: I need to graph : y=-2x+7 and y=1/3x-2 but have no I dea where to start. How do I step by step solve the question?

Question 256070: I need to graph : y=-2x+7 and y=1/3x-2 but have no I dea where to start. How do I step by step solve the question?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Start with either one of the equations.

Step 1: Select a value for

. It can be anything you want, but I suggest selecting a small integer. (in the case of your second equation, it will be convenient to select small multiples of 3)

Step 2: Substitute the selected value for

in the equation, and then do the arithmetic to solve the equation for

Step 3: Create an ordered pair

using the value of

you selected in Step 1 and the value of

you calculated in Step 2.

Step 4: Plot the ordered pair from Step 3 on your coordinate plane.

Step 5: Repeat Steps 1 through 4 once more using a different value for

.

Step 6: Draw a line through the two plotted points.

Go back and repeat all 6 steps for the other equation.

If you are trying to graphically determine the solution set of the system of equations that you presented, make sure that you graph both equations on the same set of coordinate axes and then proceed as follows:

Once you have graphed both lines, see where they intersect. That is, if they intersect. If you end up with two separate lines that do not intersect, then your solution set is the empty set. If you end up with two lines that do intersect in one point, your solution set is the ordered pair representing that point of intersection. If you end up with one line right on top of the other, then your solution set is the set of ordered pairs that satisfies either of the two equations. Such a set has in infinite number of elements.

John

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