Chapter 7 7.1 Slope-Intercept Form Worksheet - Mhr Page 17
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17Write the equation of a line with the same slope as the
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line x + 4y + 8 = 0 and the same y-intercept as the line
2x - 3y + 12 = 0.
Extend
When graphed, the equations x + 4y = n and 5x - 2y = 10 have
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the same y-intercept. What is the value of n?
A graph of 6x - ny = 8 and 2x + 3y = 12 shows two lines that
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have the same slope. What is the value of n?
A line has a y-intercept of 3 and forms an angle of 45° with the
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x-axis. Write the equation of this line in the form y = mx + b.
Consider the equation 2x + y = 200. When graphed, how many
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points (x, y) on the line will have natural numbers for both the
x-coordinate and y-coordinate?
Create Connections
Explain how to determine the slope and y-intercept of a line
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given each representation.
a table of (x, y) values
a)
a graph of the line
b)
an equation of the line in the form y = mx + b
c)
Explain how you could use the slope and y-intercept of a line to
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write the equation of the line
a)
create a graph of the line
b)
MINI LAB
Materials
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graphing technology or
•
Step 1
Use technology to graph each set of equations on the
grid paper and ruler
same display. Then, sketch a graph of each set.
y
= x + 5
y
= x - 1
y
= -x + 2
a)
b)
c)
1
1
1
y
= -2x + 5
y
= 2x - 2
y
= -x + 4
2
2
2
y
= 3x + 5
y
= -3x + 3
y
= -x + 6
3
3
3
Step 2
Describe the similarities and differences between each
set of lines. Lines that share at least one characteristic
are called a family of lines. Why might each set be
considered a family of lines?
Step 3
Write the equation of another line that belongs to each
family. Use graphing technology to check your answers.
Step 4
Create your own family of lines. Write the equations of
the lines in slope-intercept form. Share with a partner
and describe each other’s family of lines.
356
MHR • Chapter 7
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