Solving Linear Systems by Graphing: Investigation
Review what you have learned about graphing linear equations. Extend your knowledge to include when two lines are graphed. Recognize what it means to be a solution to a system of equations.
Directions: Read carefully!
In the applet below, note the equations displayed to the right of the graph. One equation is displayed in pink. The other equation is displayed in purple. The lines graphed, however, do not match the current equations given. Directions: 1) Move the pink points (of the pink line) to mark the correct starting value or zero figure and one other point on that line using the slope or growth. 2) Move the purple points (of the purple line) to mark the correct starting value or zero figure and one other point on that line using the slope or growth. 3) Look at where the lines intersect (touch). Type this point for the x and y coordinate into where it says "Enter Solution Here." 4) Click away on the applet when you enter the points. If it is correct, it will appear on the graph and you have solved the system! 5) Record your answers on a separate sheet (We will upload this to Schoology). 6) Hit the new problem button to get a new problem. Repeat this activity according to the scoring rubric: 9 to 10 times = 10/10 (A) 8 times 8/10 (B) 7/10 (C) 6/10 (D)
On the graph, what does the solution to a system of equations look like?
Was there a time when the lines did not intersect? Describe using what you know about the rule.
Was there a time when the lines intersected more than once? Describe.
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