Suppose this line represents a walking situation in which youre using a motion sensor to measure distance. The x-axis shows time and the y-axis shows distance from the sensor. a. Is the slope positive, negative, zero, or undefined? Explain. b. What is the real-world meaning of the x- and y-intercepts? c. If the line extended into Quadrant II, what could that mean? If the line extended into Quadrant IV?

M303 Section 1.7 Notes- Linear Independence 9-14-16 Linear independence- set of vectors ,…, linearly independent if vector equation + + ⋯+ = has only trivial solution = , ie. , ,…, = 0 1 2 1 2 o If = … , ten = has same solution as 1 1 +2 2 = Columns of linearly independent iff = has only trivial solution and iff no free variables present o No vector in set is linear combination of the others o Property