Solving Linear Systems Graphically

Question 1

The system represents lines that , therefore the system has .

Revolt · Accepted Answer

intersect at one point; Selection 1: intersect at one point; Selection 2: exactly one solution

Question 2

Question 112

Revolt · Accepted Answer

exactly one solution

Question 3

Explain how you can determine that the following system has one unique solution – without actually solving the system.

Revolt · Accepted Answer

Rewrite both equations in slope-intercept form. Their slopes are −2 and −1, so the lines intersect at exactly one point. That intersection is the system’s unique solution.

Question 4

Which statements did you include in your answer?

Revolt · Accepted Answer

Write each equation in slope-intercept form.; Find that the slope of the first line is –2.; Find that the slope of the second line is –1.; Since the slopes of the lines are different, the lines must have a point of intersection.; The point of intersection is the unique solution.

Solving Linear Systems Graphically Answers

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