Linear Relations Complete Solved Test Paper y = mx + b MPM1D Grade 9 Math

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Test questions on parallel and perpendicular lines and different conditions.
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Q2. Write equation of a horizontal line passing through the point (1, 5).

Q3. Write equation of a line perpendicular to x-axis passing through the point (2, 3).

Q4. The line L1 has slope of -4 and it passes through the origin. Find its equation.


Q5. Determine slope, x-intercept and y-intercept of the line . Sketch the graph of the line.


Q6. Find equation of a line with slope of 2/3, passing through (1, -4).


Q7. Write equation of line parallel to y + x = 3 which passes through the point (1, -3).


Q8. Write equation of line perpendicular to which passes through the point (0, 5).


Communication
Q9. Slope of a line with point P(2, 3) is 1.5. Find any other point on this line. Explain your reasoning.

Q10. True or False: Explain your answer.
Lines will same slope will never intersect.


Communications
Q11. Explain 3 methods to sketch the line 2x – 3y = 6.


Thinking and Application
Q12. Peter is walking at a constant speed in front of a motion sensor. After 1 s, he is 3.0 m from the sensor. 2 s later, he is 6.0 m away from the sensor.

a. Find the equation in the form d = mt + b
b. How far will Peter be from the sensor 5 s after he begins his walk?



Application
Q13. For safety reasons, an extension ladder should have a slope between 6.3 and 9.5 when it is placed against a wall. Determine if each of the following ladders has been placed within safe range.

a. A ladder reaches 4 m up the wall. The foot of the ladder is 0.5 m from the wall.
b. Foot of a 4 m ladder is placed 0.6 m from the wall.


BONUS
Q14. Anil is driving from Montreal to Toronto. After 3 hours the milestone shows distance of 300 km for Toronto and after another 2 hours the milestone show the distance to Toronto as 140 km. If he continues with the same speed, how much more time will he take to reach Toronto.