math 125 problems2 - MATH 125 PROBLEM SESSION#2 Section 1.4...

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Selected problems were taken from Blitzer’s PreCalculus MATH 125 PROBLEM SESSION #2 Section 1.4 1. Find the slope of the line passing through (4, 1) and (3, -1) or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. 2. Write the equation of the line in y = mx + b format. a. Slope= 8, passing through (4, -1) b. Passing through (3, 5) and (8, 15) 3. Find the slope and y-intercept of and y = 3x + 2 and then graph. 4. Write in slope-intercept form, find the slope and y-intercept, and graph: a. b. 2x = - 4y + 6 5. Determine conditions on A, B, and C so that the linear equation Ax + By = C can be written in each of the following forms, and discuss the possible number of x and y intercepts in each case. a. y = mx + b, m ≠ 0 b. y = b c. x = a 6. Why is it necessary to include the restriction m 0 in the statement “a linear function f(x) = mx + b with m 0 has exactly one zero”? 7. Graph y = mx 1 for m = -2, -1, 0, 1, and 2 simultaneously in the same coordinate system. Verbally describe the geometric significance of m .
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