Solving Linear Systems Graphically

Question 1

Question 23

Revolt · Accepted Answer

3

Question 2

Question 24

Revolt · Accepted Answer

3

Question 3

Question 25

Revolt · Accepted Answer

-7

Question 4

Question 26

Revolt · Accepted Answer

The slopes are different and the y-intercepts are different.

Question 5

✔ intersect at one pointcoincideare parallel

Revolt · Accepted Answer

✔ intersect at one point; The system represents lines that , therefore the system has .: intersect at one point; The system represents lines that , therefore the system has .: exactly one solution

Question 6

no solution✔ exactly one solutioninfinitely many solutions

Revolt · Accepted Answer

✔ exactly one solution

Question 7

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: y = -2x + 4 and y = -x + 3. The slopes, -2 and -1, are different, so the lines intersect at exactly one point. That intersection is the system’s unique solution.

Solving Linear Systems Graphically Answers

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