Page 146 - Mathematics

Exercise 6.4

1. Find the equation of the straight line joining each of the following pair

of points giving your answer in the form of ax by c+ += 0.

(a) (2,4) and (4, 2)− (d) ( 1, 4) and (4, 3)−− −
(b) (3,2) and (7, 2)− (e) (2, 4) and ( 3, 1)−

(c) ( 3,4) and (8,4)−

2. Find the gradient and x and y-intercepts in each of the following lines.
Tanzania Institute of Education
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(a) 14x + 7y = 25 (e) 7x − 2y +=
(b) 3y = 4x − 12 (f) ax by c− += 0
y
x
(c) 15 3x= − 5y (g) + a b = 1
(d) 3x y−= 12

3. Find the equations of the following straight lines in the form ax + by + c = 0.
(a) The line joining the points(2, 4)− ) and (3, 1).

(b) The line through the point (3, 1) having the same gradient as the
line 3x + 5y = 6.
(c) The line through the point (3, 2)− having the same y-intercept as

the line 6x − 3y = 39.

(d) The line through the point (7, 1)− having the same x-intercept as
the line 3x + 5y = 6.
x y
4. The points (4, − 2) and ( 2,− − 5) lie on the straight line + = 1.
Find the values of a and b. a b

5. Rewrite the following equations in the form y = mx c+ and then determine
of each equation without drawing their
the gradient and the -intercepty
Mathematics Form One (a) 7x + 4y = 5 3y = y 11 (d) 4x + 5y = 13y + y 0 40
graphs.

12 (e) 8x −=
(b) 14x +
70 0=
(c) 2x = + (f) 39x −

140

25/10/2024 09:51:54
Mathematics form 1.indd 140
Mathematics form 1.indd 140 25/10/2024 09:51:54