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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WORKSHEET ON FINDING SLOPE FROM TWO POINTS

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