UNIT 4:
Analytic Geometry – Review
K
NOWLEDGE/
U
NDERSTANDING
Part 1 ___
/33 marks Comm __/15 marks
1.Fill in the blanks for the linear equations. Direction: POSITIVE, NEGATIVE, HORIZONTAL or VERTICAL.
[12 marks]
Please attached an easily followed sheet with the calculations in YOUR HANDWRITING. [Comm
10 marks]
Equation
y = mx + b
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Standard Form
ax + by + c = 0
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Slope
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y-intercept
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Parallel
Slope
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Perpendicular Slope
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Direction
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a)
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b)
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c)
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d)
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e)
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f)
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2. Find the equations of the following lines in
slope-intercept form: [8 marks]
(i)has slope of and y-intercept of -2_____________________________________
(ii)has m =9and the same y-intercept as _____________________________________
(iii)has a slope of and passes through (0, -3)_____________________________________
(iv)a vertical line through the point (10,0)_____________________________________
3. Write an equation for this line in
slope-intercept form. (2 marks)
____________________________
4. Find the equations of the lines
(FTEOTL)in
slope-intercept formwith a slope of 4and an
x-intercept of 7. [4 marks]
5. FTEOTL in
slope-intercept formpassing through the points (-4, -2) and (-8, 6). [5 marks]
6. FTEOTL in
slope-intercept formfor the line with a slope of 3 and y-intercept of –10. (2 mark)
MPM1D0 Name: ________________________ Date: ___________
UNIT 4:
Analytic Geometry – Review
K
NOWLEDGE/
U
NDERSTANDING
Part 2
[12 marks]
7. Find the equations of the lines(FTEOTL) in
slope-intercept formfor the line that passes through the point (-2, -2) and has a slope m=3. (4 marks)
8. Graph the following relations. Use the method indicated by the question. Label your graph correctly.
a) Using
table of values, graph the equation [5 marks]
b) Using
x and y intercepts, graph the equation[3 marks]
MPM1D0
Name: __________________ Date: _______________
UNIT 4:
Analytic Geometry – Review:
APPLICATION
APP [15 marks]
9. A taxi driver charges a flat rate of $2.50 and then, $1.25/km driven, using the variables:
a)The Independent variable is:___________________ The Dependent variable is: _____________________
b)Table of Values [3 marks]
c)Create a graph to represent your data. [3 marks]
d)What is the equation of my line? _______________________ [2 marks]
e)Determine if this is a Partial Variation or Direct Variation relationship. Explain your answer. [2 marks]
f)How far did you travel if you paid the taxi driver $101.75? Answer in full sentence form. [3 marks]