<p> Math 9 Slope of a Line Segment Lesson 2-3 MOM (Atlantic) Page 100-101 Name SOLUTIONS</p><p>1. Find the slope of each line segment.</p><p> rise 2 1 a) slope    run 4 2</p><p> 2 b) slope  3</p><p> 4  2 c) slope   6 3</p><p>7 d) slope  3</p><p>2. Graph each line segment. Find the slope. a) A(-2,4), B(3,2) b) C(3,1), D(0,-3) c) E(-2,1), F(-6,1) d) G(1,2), H(1,9) e) I(-4,10), J(-3,4) f) K(-5,3), L(0,0) g) M(0,5), N(0,-5) h) P(-6,-2), Q(4,3)</p><p> slope  0  2 slope  4 5 slope  3</p><p> 3  6 slope  slope   6 5 1 Slope = undefined 5 1 slope   10 2</p><p>Slope = undefined</p><p>3. For each relation below:</p><p> a) Copy and complete the table of values. b) Graph the equation. c) What is the slope of any segment of the graph?</p><p> i) y = -3 + 4x ii) y = 2x - 5 x y x y 1 1 1 -3 2 5 2 -1 3 9 3 1 4 13 4 3 5 17 5 5</p><p>8 16 slope   2 slope   4 4 4 4. For each equation is exercise 3:</p><p> a) Is the relation linear? b) Explain how the table of values shows whether the relation is linear. c) Explain how the slope shows whether the relation is linear. </p><p>Yes because they are both There is a different y value In “A” for every 4 units up straight lines. for every x value. you go over 1 unit. This Also the y value is going up gives a straight line. by the same amount for In “B” for every 2 units up every x value. you go over 1 unit. This gives you also a straight line.</p><p>MOM (Atlantic) Page 104 Name SOLUTIONS</p><p>1. State the slope of each line. 2 a) slope   2 1</p><p> 3 b) slope  2</p><p>1 c) slope  2</p><p>2. State the slope of each line. 3 a) slope  2</p><p>5 b) slope   5 1</p><p> 6 c) slope   3 2 3. Draw a line through each point with each given slope.  3 1 a) A(-2, 1), slope 3 b) B(4,0), slope c) C(0,0), slope d) D(-1,-3), slope -4 2 4</p><p>4. Draw a line through B(3,2) with each slope. 1 a) 2 b) c) -3 d) 0 2 5. Draw a line through E(0,4) with each slope. Find the coordinates of 2 more points on each line.</p><p>1 1 a) 3 b) c) -2 d) 2 4 MOM (Atlantic) Page 105 Name SOLUTIONS 8. Draw the line through each pair of points. Find the coordinates of 2 more points on each line. a) E(2,3) and F(1,7) b) G(-4,7) and H(1,0) c) J(-6, -2) and K(5,8) d) L(-3,-7) and M(-4,-6)</p><p>9. Graph each set of points. i) A(0, 1), B(3,3), C(9,7) ii) A(-6, 1), B(-2, -1), C(4, -4) iii) A(8, 5), B(-2, 1), C(3,3) a) Find the slopes of AB, BC and AC. What do you notice? Explain whether this makes sense. b) Suppose D is another point on the line. What is the slope of AD? How do you know?</p><p>2  2 1 slopeAB  slopeAB   3 4 2 6 2  5 1 slopeAC   slopeAC   9 3 10 2 4 2  3 1 slopeBC   slopeBC   6 3 6 2 a) All the slopes are the same for each question. This makes sense because the slope should be the same on any one line.</p><p> b) If D was placed on the line, then AD would have the same slope as 2 all the others in the question slopeAB  5 because the slope of a line is the 4 2 same for all points on the line. slopeAC   10 5 2 slopeBC  5</p><p>11. A line has slope -1. It passes through the points C(q, 3) and D(4, -2). What is the value of q? Slope = -1</p><p>The value of q is -1</p><p>1 12. Two lines intersect at N(0,4). They have slopes of 2 and . Determine the coordinates 2 at which each line intersects the x-axis.</p>