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Math

M9 Exercise A

1. Find the coordinates of the point plotted below

12345-1-2-3-4-512345-1-2-3-4-5

Coordinates: ( ,

2. To use this drawing tool, click on the graph at two different points to position the line.

Graph the equation of the line x=1x=1.

3. Fill out the chart below, then plot each point on the grid.

y=x−3y=x-3
x y
0
1
2
3

4. To use this drawing tool, click on the graph at two different points to position the line.

Graph the equation of the line y=−1y=-1.

5. Fill in the t-table below for the equation. Then graph the line on the grid by selecting two of the points from your table.

−3x+4y=−8-3x+4y=-8

x y
−4-4

0

4

12345678-1-2-3-4-5-6-7-812345678-1-2-3-4-5-6-7-8
Clear All Draw:

6. In which quadrant does the point (2,2)(2,2) lie?

• IV
• II
• I
• III

7. Sketch a graph of x+2y=−4x+2y=-4
12345-1-2-3-4-512345-1-2-3-4-5
Clear All Draw:

8. Plot the point (2,2)(2,2).
12345-1-2-3-4-512345-1-2-3-4-5
Clear All Draw:

M9 Practice B

1. Given a line passing through (−5,4)(-5,4) and (−7,12)(-7,12), a) which of the following is the correct slope of the line AND b) what is the slope?
• m=(12)−(4)(−7)−(5)m=(12)-(4)(-7)-(5)
• m=(−7)−(−5)(12)−(4)m=(-7)-(-5)(12)-(4)
• m=(12)−(4)(−7)−(−5)m=(12)-(4)(-7)-(-5)
• m=(−7)−(−5)(12)−(−4)m=(-7)-(-5)(12)-(-4)
slope =

2. 14-10

State the run, rise, and slope of the line above.

3. Find the slope of the line that goes through the points (14,6) and (15,2).

Slope, mm =

Enter your answer as an integer or a reduced fraction in the form A/B

4. Determine the slope of the line passing through the points (9,2)(9,2) and (−3,−4)(-3,-4).

m=m=

5. 1020304050-10-20-30-40-5048121620-4-8-12-16-20

Find the slope of the line.

Slope = m=m=

Enter your answer as an integer or as a reduced fraction in the form A/B.

6. Match each slope with the type of line it will produce.
Slope
• -1
• 0
• DNE
Type of Line
a. uphill
b. Horizontal
c. Vertical
d. Downhill

7. Find the slope of the line shown below
123-1-2-312345-1-2-3-4-5
slope =

8. Find the slope between the points (−4,4)(-4,4) and (−2,4)(-2,4). Enter DNE if the slope between the points is undefined.
Slope:

9. A city's population in the year x=x=1970 was y=y= 911,800. In 1988 the population was 913,600.

Compute the slope of the population growth (or decline) and choose the most accurate statement from the following:
• The population is increasing at a rate of 50 people per year.
• The population is increasing at a rate of 100 people per year.
• The population is decreasing at a rate of 100 people per year.
• The population is increasing at a rate of 300 people per year.
• The population is decreasing at a rate of 50 people per year.
• The population is decreasing at a rate of 300 people per year.

10. Sketch a line with positive slope and positive y-intercept.

12345-1-2-3-4-512345-1-2-3-4-5
Clear All Draw:

Practice Exercise C

Question 1
The equation of the line with slope 2 and y-intercept 3 can be written in the form y=mx+by=mx+b where
the number mm is:
the number bb is:

Question 2 Graph




Graph the following equation. y=−3x+1y=-3x+1
Clear All Draw:

Question 3 Graph





Graph the following equation. y=−x+4y=-x+4
Clear All Draw:

Question 4

Determine whether the given points are on the graph of y=−2x+5y=-2x+5.

Select all points that lie on the graph.
• (-2,9)
• (3,-1)
• (-1,3)
• (2,-6)

Question 5


Give the slope and the y-intercept of the line y=x−3y=x-3.
Make sure the y-intercept is written as a coordinate.

Slope =

y-intercept =

Question 6
Graph the following equation. y=2x−1y=2x-1

Question 7
Graph the equation −2x+4y=−20-2x+4y=-20 by writing the equation in the form y=mx+by=mx+b.
Clear All Draw:

Question 8
Graph the equation 4x−5y=154x-5y=15 by writing the equation in slope-intercept form.
Clear All Draw:

Question 9
Graph the following equation. y=x−8y=x-8
Clear All Draw:

Question 10
Which of these is the slope-intercept form of a linear equation?
• xy=m+b
• x=my+b
• ax+by=c
• y=mx+b
• None of these

M9 Problem Set
Question 1
In which quadrant does the point (6,−4)(6,-4) lie?

• IV
• I
• II
• III

Question 2
Plot these points:

x y
8 7
1 4
6 2
5 3
3 8
Clear All Draw:

3. Find the coordinates of the point plotted below

12345-1-2-3-4-512345-1-2-3-4-5

Coordinates: ( , )

4. For the equation 3x+4y=123x+4y=12

a) Complete the table:
x y

0
0

b) Plot the two points you found in the table.
123456-1-2-3-4-5-6123456-1-2-3-4-5-6
Clear All Draw: Dot

5. Fill in the t-table below for the equation. Then graph the line on the grid by selecting two of the points from your table.

y=−2x−6y=-2x-6

x y
-1

0

1

12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10
Clear All Draw:

6. Sketch a graph of x−y=−4x-y=-4
12345-1-2-3-4-512345-1-2-3-4-5
Clear All Draw:

7. To use this drawing tool, click on the graph at two different points to position the line.

Graph the equation of the line y=2y=2.

12345-1-2-3-4-512345-1-2-3-4-5
Clear All Draw:

8. What kind of slope does this line have?

9. 3 -13
State the run, rise, and slope of the line above.

run =

rise =

m =

10. Given a line passing through (−6,9)(-6,9) and (6,19)(6,19), a) which of the following is the correct slope of the line AND b) what is the slope?
• m=(6)−(−6)(19)−(9)m=(6)-(-6)(19)-(9)
• m=(6)−(−6)(19)−(−9)m=(6)-(-6)(19)-(-9)
• m=(19)−(9)(6)−(−6)m=(19)-(9)(6)-(-6)
• m=(19)−(9)(6)−(6)m=(19)-(9)(6)-(6)
slope =

11. Sketch a line with positive slope and negative y-intercept.

12. Find the slope between the points (13,7) and (12,9).

Slope =

13. Find the slope between the points (−10,−5)(-10,-5) and (10,−5)(10,-5). Enter DNE if the slope between the points is undefined.
Slope:

14. Find the slope of the line that goes through the points (3,4) and (12,15).

Slope, mm =

Enter your answer as an integer or a reduced fraction in the form A/B

15. (See the graft)
Find the slope of the line.

Slope = m=m=

Enter your answer as an integer or as a reduced fraction in the form A/B.

16. (See the graft)
Find the slope of the line.

Slope = m=m=

17. A city's population in the year x=x=1955 was y=y= 1,733,150. In 1950 the population was 1,734,400.

Compute the slope of the population growth (or decline) and choose the most accurate statement from the following:
• The population is increasing at a rate of 250 people per year.
• The population is decreasing at a rate of 400 people per year.
• The population is decreasing at a rate of 450 people per year.
• The population is decreasing at a rate of 250 people per year.
• The population is increasing at a rate of 450 people per year.
• The population is increasing at a rate of 400 people per year.

18. At 11 AM, one share of Starbucks stock was $15. By 1 PM the price was $21.

The rate the Starbucks stock value was changing is $ per hour.

Make sure your rate is a reduced fraction or an integer.

19. Determine whether the given points are on the graph of y=−2x+5y=-2x+5.

Select all points that lie on the graph.
• (2,1)
• (6,-14)
• (-1,3)
• (-1,7)

20. The equation of the line with xx-intercept 22 and yy-intercept −2-2 can be written in the form y=mx+by=mx+b where
the number mm is:
the number bb is:

21. Graph the following equation. y=4x+4y=4x+4

22. Graph the following equation. y=4x−7y=4x-7

23. Graph the following equation. y=−3x+1y=-3x+1

24. Graph the following equation. y=2x−4y=2x-4

25. Graph the equation 2x+3y=92x+3y=9 by writing the equation in the form y=mx+by=mx+b.



• 3-13

State the run, rise, and slope of the line above.

run =

rise =

m =



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  1. with poor text formatting, useless repetition, and oh yeah
    no indication of any work on your part.

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  2. I wonder how much time it took him to type this all out.

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