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Santiago City National High School Home of Responsive Learners

Long Test No. 2, Fourth Grading, SY 2011 – 2012

MATHEMATICS – III

Topic: Equation of A Line

Prepared by: Virgo Mamaclay Gulan

 Name: __________________________________________ Group: ________ Score: ______________ 

I. Matching Type. Identify what is being asked in Column A by matching it to Column B. Write your answer 

 before the number. (1 pt each)

*****PLANE COORDINATE GEOMETRY*****

1. the first coordinate of an ordered pair 

representing a point

2. one of the four regions into which two

 perpendicular number lines separate the

Cartesian plane3. the point wherein the graph of the line

touches the x-axis

4. the rate of change of the line

5. the vertical number line in the Cartesian

 plane

6. two distinct lines whose slopes are

numerically equal

7. a portion of a line with a definite length

8. an exact location in the coordinate plane

a. point

 b. line

c. segment

d. plane

e. quadrant

f. abscissa

g. ordinateh. y-intercept

i. x-intercept

 j. slope

k. trend

l. parallel lines

m. perpendicular lines

n. y-axiso. x - axis

II. Multiple Choice. Read carefully the given statements. Choose from the options the answer you think will

 best satisfy each question. (1.5 pts)

1. What is the appearance of the line that passes through the points (2,3) and (7,3)?

a. parallel to the x – axis c. upward from left to right

 b. parallel to the y – axis d. downward from left to right

2. If the slope of a line is positive, which of the following is true?

a. the line decreases from left to right c. the line does not change

 b. the line decreases from right to left d. the line increases from right to left

3. The slope of a given line is -2/5. What does it mean?

a. As x increases by 5, y increases by 2. c. As x decreases by 5, y decreases by 2.

 b. As x increases by 5, y decreases by 2. d. As x increases by 5, y decreases by -2.

4. A certain line is defined by the equation y = 3x + 2. Identify the slope of the said line.

a. -2 b. -3 c. 2 d. 3

5. Transform the equation y = 3x/4 + 8 in the form ax + by + c = 0 if a is a positive number.

a. 3x - 4y - 32 = 0 c. 3x - 4y + 32 = 0

 b. 3x + 4y - 32 = 0 d. 3x + 4y - 32 = 0

6. Find the slope of a line whose equation is 2x + 7y = 15.a. 2/7 b. 7/2 c. -2/7 d. 1

7. Find the x-intercept of a line whose equation is 3x + 4y - 12 = 0.

a. (-4,0) b. (-3,0) c. (3,0) d. (4,0)

8. Which of the following is written in general form?

a. 2y + 3x - 6 = 0 b. 2x + 3y - 5 = 0 c. 2y - 5x = 6 d. 3x + 4 - 2y = 0

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9. A line that passes through a given point on the third quadrant has an x – intercept that is positive. Identify the

quadrant wherein the line does not pass by.

a. I b. II c. III d. IV

10. How many points are needed to graph a linear equation on the Cartesian plane?

a. 2 b. 1 c. 3 d. 4

11. Which of the following is not true about the line whose equation is 5x + 3y = 7?a. the graph decreases from left to right c. if x is increased by 5, then y is decreased by 3

 b. If x = 0, then y = 7/3 d. the x – intercept is 7/5

12. A line passes through the point (-1, 2) and (4, 6). Obtain the equation of the line.

a. 4x + 5y + 14 = 0 c. 4x + 5y - 14 = 0

 b. 4x - 5y - 14 = 0 d. 4x - 5y + 14 = 0

13. Find the equation of the line with slope of 2/3 and y-intercept of 3.

a. y = -3x + 2 b. y = 3x/2 - 3 c. y = 2x/3 + 3 d. y = 2x/3 - 3

14. What is the equation of the line that passes through (4,0) and with a slope of 1?

a. y + x + 4 = 0 b. y - x + 4 = 0 c. y - x - 4 = 0 d. y + x - 4 = 0

15. The equation of a line that intercepts the x-axis at x = 4 and the y-axis at y = -6 is:a. 2x - 3y = 12 b. 3x + 2y = 12 c. 3x - 2y = 12 d. 2x - 3y = -12

16. What is the equation of the line with slope -6/11 and passing through the point C(4,9)?

a. 6x - 11y + 123 = 0 c. 6x + 11y - 123 = 0

 b. 11x + 6y + 10 = 0 d. 6x + 11y - 75 = 0

17. Two lines are parallel if they have the same slopes. Find the equation of a line parallel to 3x + 2y = 6 and

 passing through (0, 4).

a. y = -3x/2 - 4 b. y = 3x/2 + 4 c. y = - 3x/2 + 4d. y = 3x/2 3 -4

18. Which of the following is parallel to the line whose equation is 5x - 2y = 6?

a. 10x + 4y = 8 b. 10x - 4y = 8 c. -10x - 4y = 5 d. 2x - 5y = 719. In the equation y – 3 = 2(x + 5), which of the following is true?

a. The slope is – 3/5 c. The point (-5, 3) is contained on the line

 b. The point (3, - 5) is contained on the line d. The slope is 2/3.20. Which of the following is always included in the graph of the equation ax + by – c = 0, if “a” and “b” are

 both not equal to zero?

a. (a, b) b. (c/b, 0) c. (0, c/a) d. (c/a, 0)

21. In the equation ax + by + c = 0 where “a” and “b” are both not equal to zero, what is the effect when “a” and

“b” are both multiplied by 2?

a. The intercepts remain the same, but the slope is multiplied by 2.

 b. The intercepts remain the same, but the slope is divided by 2.

c. The slope remains the same, but the intercepts are multiplied by 2.

d. The slope remains the same, but the intercepts are divided by 2.

22. Two lines are perpendicular if the product of their slopes is negative one. Which of the following is

 perpendicular to the line 2x + 3y – 3 = 0?

a. 3x – 2y + 3 = 0 b. 2x – 3y – 3 = 0 c. 3x + 2y – 4 = 0 d. 2x + 3y – 4 = 0.

23. Find the x – intercept of a line that passes through the point (2, – 3) and whose slope is – 3/5.

a. (3,0) B. (– 3,0) C. (9/5,0) D. (– 9/5,0)24. In the equation y = a(x + 2) – 3, what is the corresponding y – intercept of the line?

a. – 3 b. a – 3 c. 2a – 3 d. – 3 – 2a

25. Write the equation 2x + 3y – 7 = 0 in slope-intercept form.

a. y = (2/3)x – 7 b. y = (– 2/3)x + 7 c. y = (– 2/3)x – 7 d. y = (2/3)x + 7

26. What is the equation of the line that passes through the point (2,3) and (3,3)?

a. y – 3 = 0 b. y + 3 = 0 c. x + 3 =0 d. x – 3 = 0

27. What will be the effect of increasing the value of “a” in the equation y = a(x + 2) – 3 if “a” is originally a

 positive real number?

a. The intercepts and slope will increase. b. The y – intercept and slope will increase, but the x – intercept will decrease.

c. The x – intercept and slope will increase, but the y – intercept will decrease.

d. The intercepts will remain the same, however the slope will increase.

28. Graphing the equations x + y = 1 and 2x + 2y = 6 on the same Cartesian plane will give us two lines that are:

a. perpendicular b. intersecting but not perpendicular c. parallel d. skew