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...



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



Standard Form


ax + by + c = 0



Slope



y-intercept



Parallel


Slope



Perpendicular Slope



Direction





a)
















b)
















c)
















d)
















e)
















f)
















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]









Jun 15, 2021
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