WORKSHEET ON FINDING SLOPE FROM TWO POINTS

Find the slope of the line segment joining the following pairs of points

Questions :

1)  (2, 1) and (5, 2)

2)  (5, 3) and (2, 2)

3)  (2, -2) and (4, 1)

4)  (7, 2) and (-3, 2)

5)  (-6, -2) and (-6, -4)

6)  (5, -1) and (-3, -3)

7)  (-5, 4) and (4, 0)

8)  (0, -5) and (-2, -3)

9)  (1, 12) and (10, 7)

10)  (-2, 0) and (0, 4)

11)  (3, 2) and (8, 4).

12)  (1, -1) and (2, 1)

13)  (-2, -2) and (-1, 3)

14)  (2, 4) and (6, 12)

15)  (-20, 13) and (-15, 8)

16)  (4, -1), (0, -16)

Answers :

1)  1/3              Solution

2)  1/3             Solution

3)  3/2             Solution

4)  0                 Solution

5)  undefined    Solution

6)  1/4              Solution

7)  -4/9            Solution

8)   -1               Solution

9)  -5/9            Solution

10)  2                Solution

11)   2/5            Solution

12)  2                Solution

13)  5                Solution

14)  2                Solution

15)  -1               Solution

16)  15/4          Solution          

Find the missing coordinate given slope and two points

Problem 1 :

A(1, 3) to B(3, a) is parallel to a line with gradient 3.

Solution

Problem 2 :

P (a, -3) to Q(4, -2) is parallel to a line with gradient 1/3.

Solution

Problem 3 :

M(3, a) to N(a, 5) is parallel to a line with gradient -2/5.

Solution

Problem 4 :

A(2, -3) to B(-2, t) is perpendicular to a line with gradient 1 1/4.

Solution

Problem 5 :

C(t, -2) to D(1, 4) is perpendicular to a line with gradient 2/3.

Solution

Problem 6 :

P(t, -2) to Q(5, t) is perpendicular to a line with gradient -1/4.

Solution

Problem 7 :

Find the slope of the line that contains the points (3, 4) and (7, 13).

Solution

Problem 8 :

Find the slope of the line that contains the points (2, 11) and (6,−5).

Solution

Problem 9 :

Find a number t such that the line containing the points (1, t) and (3, 7) has slope 5.

Solution

Problem 10 :

Find a number c such that the line containing the points (c, 4) and (−2, 9) has slope −3.

Solution

Problem 11 :

Find a number t such that the point (3, t) is on the line containing the points (7, 6) and (14, 10).

Solution

Answers :

1)  a  =  9

2)  a  =  1

3)  a  =  6 1/3

4)  t  =  1/5 

5)  5  =  t

6)  t  =  3 3/5

7)  m  =  5/2

8)  m  =  -4

9)  t  =  -3

10)  c  =  -1/3

11)  t  =  26/7

Find the slope of the line using formula.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Answers :

1)  Slope  =  4/3

2)  Slope  =  -8/5

3)  Slope  =  -1

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