3.
Give the equations for the following in slope-intercept form,
y
=
a
+
b
x, graph them
all on a single diagram and give the horizontal and vertical intercepts where appro-
priate:
(a)
Slope = +3, line passes through (10, 40)
(b)
Slope = +2, line passes through (5, 30)
(c)
Slope = +1, line passes through (–30, 0)
(d)
Slope = 0, line passes through (20, 40)
(e)
Slope = –1, line passes through (40, 10)
(f)
Slope = infinity [vertical], line passes through (10, 10).
4. Given the following data for sets of 2 points on some straight lines, calculate the
slopes of the lines and give their equations in slope-intercept form,
y
=
a
+
b
x, and
graph them in a single diagram:
(a)
A
1
(20, 10),
A
2
(0, 30)
(b)
B
1
(10, 12.5),
B
2
(40, 5)
(c)
C
1
(10, 5),
C
2
(30, 15)
(d)
D
1
(10, 0),
D
2
(15, 5)
(e)
E
1
(5, 10),
E
2
(15, 10)
MATH MODULE 2: LINEAR EQUATIONS
M2-5