Math 9 Slope of a Line Segment Lesson 2-3

MOM (Atlantic) Page 100-101

1.  Find the slope of each line segment.

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)

3.  For each relation below:

a)  Copy and complete the table of values.

b)  Graph the equation.

c)  What is the slope of any segment of the graph?

i) y = -3 + 4x ii) y = 2x - 5

4.  For each equation is exercise 3:

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.

MOM (Atlantic) Page 104

Name ______

1.  State the slope of each line.

2.  State the slope of each line.

3.  Draw a line through each point with each given slope.

a) A(-2, 1), slope 3 b) B(4,0), slope

c) C(0,0), slope d) D(-1,-3), slope -4

4.  Draw a line through B(3,2) with each slope. (Draw all four lines on one Cartesian plane, but please label each line!)

a) 2 b) c) -3 d) 0

5.  Draw a line through E(0,4) with each slope. Find the coordinates of 2 more points on each line.

a) 3 b) c) -2 d)

MOM (Atlantic) Page 105

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(-6,-4)

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?

11. A line has slope -1. It passes through the points C(q, 3) and D(4, -2). What is the value of q?

12. Two lines intersect at N(0,4). They have slopes of 2 and . Determine the coordinates at which each line intersects the x-axis.