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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 yaxis at a negative yvalue (that is, below the xaxis). That is, the line’s yintercept (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 xyplane, 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 xyplane 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 xyplane, 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 xyplane, what is the equation of the line with slope 3, if the line contains the point defined by the xycoordinate 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 xyplane, 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 EmbryRiddle FL/AZ.
 Spring '10
 Colon
 SAT

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