MPM1D More Slope QuestionsMs. Kueh

How to find the slope between two points algebraically:

 1. Find the slope of each line segment.

a) AB

b) CD

c) EF

d) GH

2. Point A (2 ,3) is plotted on the grid. Draw a line segment AB with slope −12 . What are

possible coordinates of B?

3. Determine the slope of the line passing through each pair of points. (a) O(5 ,6), P(7 ,8)

(b) U(−6 ,−3), V(−6 ,3)

4. The line segment joining each pair of points has the given slope. Find the unknown. (a) A(2 ,2), B(4 , a) slope = 3

(b) G(0 ,8), H(d ,−4) slope = - 2

5. If (−4 ,3) is a point on the line with slope 58 , find another point on the line.

6. At rest, Vicky takes 62 breaths every 5 min. What is Vicky’s rate of change of number of breaths?

 

 7. The graph shows the speed of the cars on a roller coaster once the brakes are applied.

a) Find the slope of the graph.

b) What does the slope mean?

ANSWERS:

1. a)−15 b)

12 c) 4 d) 2

2. Answer may vary. Possible answer: B(6, 1)

3 (a) 1 (b) undefined 4 (a) 8 (b) 6 5 answers vary (4, 8)6. 12.4 breaths/min 

7. a) 3.6 b) Once the brakes are applied, the speed of the cars decreases at a rate of 3.6 m/s.