4: Graph the system of linear functions; y=32x−1 and y=−x+4 , then place a point identifying the solution to the system.

The easiest way to do this is by graphing it online or on your calculator, but let's walk through the process so you know how to do it by hand. (See the attached picture!)

Remember y=mx+b, where m=slope and b=y-intercept.

The best way to start graphing a line is to graph the y-intercept. The first equation's y-int is -1, the second equation's y-int is 4, so put a point at (0,-1) and (0,4).

Next, use an x-y table to pick points and plot them. Plug in random xs like 1 or 2 and find their ys, then plot those coordinates.

Next, connect the points, then think about the slope: does your answer make sense? Logically, the first line has slope 32, so it should be really steep and pointing right like this: / The second line has slope -1, so it should not be very steep and should be pointing left like this : \

final answer is : )

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