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If a point has coordinates (x,y) and xy < 0 and y > 0 the point

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Presentation on theme: "If a point has coordinates (x,y) and xy < 0 and y > 0 the point"— Presentation transcript:

1 If a point has coordinates (x,y) and xy < 0 and y > 0 the point
must be in the______quadrant. hint: translate > 0 and < 0 to English phrases A.) I B.) II C.) III D.) IV E.) It isn't possible to determine the quadrant from the given information.

2 A.) positive B.) negative C.) zero D.) no slope
?? I A line passes through quadrants II, III and IV. What is the slope of the line? III IV A.) positive B.) negative C.) zero D.) no slope E.) It isn't possible to determine this from the given information.

3 m = -3 (-1, -7) and (-4, ) A.) 16 B.) 22 C.) 2 D.) -2
Ms. Pain, the algebra teacher, has a habit of standing in front of crucial information . If she did the problem correctly (and she always does!), what number is she blocking? (-1, -7) and (-4, ) m = -3 A.) B.) C.) D.) -2 E.) F.) None of these

4 slope is undefined (-3,-5) and ( ) A.) (2, 5) B.) (7, -5) C.) (3, 5)
Ms. Pain, the algebra teacher, has a habit of standing in front of crucial information . If she did the problem correctly (and she always does!), what coordinates could she be blocking? (-3,-5) and ( ) slope is undefined A.) (2, 5) B.) (7, -5) C.) (3, 5) D.) (-3, 8) E.) (0, 0) F.) None of these

5 m = 0 (-3, 8) and ( ) A.) (8, -3) B.) (-3, -8) C.) (3, -8)
Ms. Pain, the algebra teacher, has a habit of standing in front of crucial information . If she did the problem correctly (and she always does!), what coordinates could she be blocking? m = 0 (-3, 8) and ( ) A.) (8, -3) B.) (-3, -8) C.) (3, -8) D.) (8, 0) E.) (2, 8) F.) None of these

6 I II 2y - x = 4 y - 3x = 15 Which ramp is the steepest?
A.) I B.) II C.) No difference

7 I 7x-9y = 9 II 6 = 5x-6y Which ramp is the steepest?
A.) I B.) II C.) No difference

8 Which lines have the same y-intercept?
A.) x - 2y + 6 = B.) 2x - y = 3 C.) y = x D.) y = -3 E.) x = F.) None of these

9 II Which line has a slope of 1/2? I
A.) I B.) II C.) Both I & II D.) Neither line

10 I II Which line has a slope that is larger than its y-intercept? A.) I
B.) II C.) Both lines D.) Neither line

11 A.) I, II, III B.) II, III, I C.) II, I, III D.) III, I, II
List the given lines in order of their slopes from smallest slope to largest slope. II I A.) I, II, III B.) II, III, I C.) II, I, III D.) III, I, II E.) None of these III

12 List the given lines in order of their slopes from smallest slope to largest slope.
b a c d A.) b, a, d, c B.) d, c, a, b C.) c, d, b, a D.) d, c, b, a E.) a, b, c, d F.) None of these

13 How many are TRUE? A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5
1. The line x = -3 is a vertical line. 2. The line that passes through the points (1, 2) and (4, -10) has a slope of 4. 3. A line parallel to the y-axis has a slope of 0. 4. If two lines never intersect then their slopes are equal. 5. The slope of the line that is perpendicular to 3x - y = 7 must have a slope of 1/3. A.) 0 B.) 1 C.) D.) E.) 4 F.) 5

14 Given the two lines: 2x - 3y = -15 3x + 2y = 10
Which of these statements are true? A.) They have the same y-intercept. B.) They are parallel lines. C.) They have the same x-intercept. D.) They are perpendicular lines. E.) They are the same line. F.) None of the statements are true.

15 Given the two lines: 3x - 2y = 12 3y - 2x = -8,
Which of these statements are true? A.) They have the same y-intercept. B.) They are parallel lines. C.) They have the same x-intercept. D.) They both contain the point (6,-3). E.) They are the same line. F.) None of the statements are true.

16 Which line is it? Clues... A.) y -1= 3x B.) 9 = 2x - y C.) y + 2x = 1
1. The x-intercept is positive. 2. The line passes through the point (-2, 5). 3. The slope of the line is smaller than its y-intercept. "lion" tracks Which line is it? A.) y -1= 3x B.) 9 = 2x - y C.) y + 2x = 1 D.) y = -3x E.) None of these

17 Clues... Which line is it? 1. The x-intercept is negative.
The line passes through the point (4,9) but not through the origin. 3. The slope of the line is bigger than its y-intercept. "lion" tracks Which line is it? A.) y - x = B.) x = 13 - y C.) 4y - 9x= 0 D.) 2y - x = 14 E.) y - 2x -1 = 0 F.) None of these

18 Find the slope intercept form of the line.
B.) y +2 = 2(x -8) A.) x - 6 = y E.) y = 2x + 12 C.) y = x - 4 D.) y = x - 6 F.) None of these

19 A.) (4, -9) B.) (3, -4) C.) (-3, 13) D.) (-2, 9)
A line passes through the points: (1,1) and (5, -11) Which point is also on the line? A.) (4, -9) B.) (3, -4) C.) (-3, 13) D.) (-2, 9) E.) (0, 3) F.) None of these

20 A.) (-9, 12) B.) (-25, 20) C.) (0, -6) D.) (2, -7)
A line passes through the points: (-3,-2) and (-1, -4) Which point is also on the line? A.) (-9, 12) B.) (-25, 20) C.) (0, -6) D.) (2, -7) E.) (-10, 14) F.) None of these

21 What line has a slope of -1/2 and passes through the point (3, 1) ?
A.) x - 2y = -5 B.) 4x - 2y = 10 C.) 2x + y = 7 D.) 2y + x = 1 E.) x + 2y = 5 F.) None of these

22 The inequality graphed is:
A.) x ≥ y B.) y ≥ x C.) 2x < y D.) 2y ≤ x E.) y < x F.) None of these

23 The inequality graphed is:
B.) C.) D.) E.) F.) None of these

24 How many of the following inequalities
include the point (-1, -3) in their solution? 1.) y x +1 -2 3 2.) y - x < 2 3.) x 4.) y x-7 ? YES NO 5.) 2 < y + 7 A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5

25 E.) 5x - 4y < 6 F.) None of these
The 1st Equitable Bank was robbed by a linear inequality. An All Points Bulletin was issued. Description: Solution set includes the point (1,4) Solution set does not include the point (-4, -4) Solution is "bounded" by a dotted line Solution includes all of Quadrant II Which inequalities (if any) match the description? A.) y + x > -6 B.) x + 5 < 4 C.) 2x - 5y < D.) 7 ≤ y + 9 E.) 5x - 4y < F.) None of these


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