Slope Intercept Form Page 2
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1
27.2 General Form
10. Robyn is skiing with friends at Marmot
Basin in Jasper, Alberta. When he is
5. Express each equation in general form.
at the top of Marmot Peak, which
1
__
a) y
x 9
2
has an elevation of 8570 ft, he notes
y
x
__
__
that the temperature is 3 F. When he
b)
1
3
2
skis to the base, where the elevation is
c) y
2
(x
1)
approximately 5570 ft, the temperature
is 12 F.
6. Determine the intercepts of each line.
a) Assuming that the temperature
Then, graph each line.
change is constant as the altitude
y 4
a) 2x
0
changes, write a linear equation
b) 5x 4y
20
0
in slope-point form showing the
relationship between altitude, x, and
temperature, y.
7. Bamboo is the fastest growing plant
on Earth. On average, it can grow
b) Use the equation to determine
60 cm/day, depending on the soil and
the temperature at the base of
climatic conditions. Under less than
Eagle Chair, where the elevation is
ideal conditions, the growth rate averages
approximately 6500 ft.
10 cm/day.
a) Write an equation, in general form,
7.4 Parallel and Perpendicular Lines
that represents the number of days
11. State whether each set of lines is parallel
of growth for ideal conditions, x, and
or perpendicular.
the number of days of growth under
a) 6y
2x 4
0
less than ideal conditions, y, needed
y
3x
12
for a bamboo plant to reach a height
4
of 42 m.
__
b) y
x 17
3
9y 12x
8
0
b) What are the intercepts? What do they
represent?
c) 9y
3x 12
12y 4x
14
c) What are the domain and range?
d) If it takes 55 days for a bamboo tree
12. Write the equation of a line, in general
to reach 42 m under ideal conditions,
form, that runs perpendicular to
how many days would it take to
2x y
0 with a y-intercept of 6.
8
reach this height under less than ideal
13. A line runs through ( 1, 3) and (2, 1)
conditions?
and has an x-intercept of 4. Write the
equation of the line perpendicular at the
7.3 Slope-Point Form
x-intercept.
8. A line has a slope of 2 and passes
through the point ( 6, 5). Write the
14. Explain how the following lines are related.
equation of the line in slope-point form
Line 1: 2x
3y
and in general form.
2
__
Line 2: y
x 11
1
__
9. A line has an x-intercept of
3
and a
2
y-intercept of 4. Write the equation
Line 3: 8x
12y
7
0
of the line in slope-point form and in
4
___
Line 4: y 6
(x
5)
6
general form. Verify your answer using
graphing technology.
978-0-07-012733-3 Mathematics 10 Exercise and Homework Book • MHR 159
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