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Unformatted text preview: wing could be the equation of line P ? (A) (B) (C) (D) (E) Solution: The correct answer is (E). Notice that line P slopes downward from left to right at an angle greater than 45°. Thus, the line’s slope (m in the equation y = mx + b) < –1. Also notice that line P crosses the y-axis at a negative y-value (that is, below the x-axis). That is, the line’s y-intercept (b in the equation y = mx + b) is negative. Only choice (E) provides an equation that meets both conditions. y= 5x– 2 y=–2x+ 2 y= 2x– 2 y= 5x+ 5 y=–2x– 2
5 5 2 2 5 5 5 5 2 5 www.petersons.com 286 Chapter 16 Exercise 3
Work out each problem. Circle the letter that appears before your answer. 1. In the xy-plane, what is the slope of the line described by the equation 2y = –9 ? (A) (B) (C) (D) (E) 2. –2 –9 0
9 2 2
9 4. Referring to the xy-plane below, if the scales on both axes are the same, which of the following could be the equation of line P ? The slope is undefined. In the xy-plane, what is the slope of a line that contains the points (–1,4) and (3,–6)? (A) (C) (B) (D) (E)
− − 5 2 1 2 –2 (A) (B) (C) (D) (E) 5. y= 3x–6 y= 2x–6 y=–2x+6 y= 3x+6 y=–3x–6
2 2 3 3 2 1 2 3. In the xy-plane, what is the equation of the line with slope 3, if the line contains the point defined by the xy-coordinate pair (–3,3)? (A) y = 3x – 3 (B) y = 3x + 12 (C) y = x + 6 (D) y = –3x – 12 (E) y = 6x – 6 What is the equation of the line that is the perpendicular bisector of the line segment connecting points (4,–2) and (–3,5) in the xyplane? (A) (B) (C) (D) (E) y = –x + y=x+ y=
1 2 3 2 3 x–1 2 y = –x + 2 y=x+1 www.petersons.com Additional Geometry Topics, Data Analysis, and Probability 287 4. GRAPHS OF FUNCTIONS AND OTHER EQUATIONS—FEATURES AND TRANSFORMATIONS
On the new SAT, a question might show a graph of a quadratic function or other equation in the xy-plane, and then ask you to identify or recognize certain features of the graph—for example, minimum or maximum points on the graph. You might encounter the graph of a circle, an ellipse, a parabola, or even a trigonometric function (appearing as a wa...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.
- Spring '10