MATHEMATICS 8
SUMMATIVE TEST #1
MATHEMATICS 8
SUMMATIVE TEST #1
I. Read the questions carefully and write the letter of the
correct answer. (2pts each)
1. In the equation 𝐴𝑥+𝐵𝑦=𝐶 where A and B are not equal to
zero is a linear equation in what form?
A. point- slope form
C. standard form
B. slope-intercept form
D. two-point form
I. Read the questions carefully and write the letter of the
correct answer. (2pts each)
1. In the equation 𝐴𝑥+𝐵𝑦=𝐶 where A and B are not equal to
zero is a linear equation in what form?
A. point- slope form
C. standard form
B. slope-intercept form
D. two-point form
3
3
2. The line 𝑦 − 8= 4 (𝑥 − 4) passes through which point?
2. The line 𝑦 − 8= 4 (𝑥 − 4) passes through which point?
A. (−4, − 8)
B. (−4, 2)
C. (−4, 8)
D. (3, 4)
3. What is the slope (𝑚) and y – intercept (𝑏) of the
equation 𝑦 = 2𝑥 − 4?
A. 𝑚 =2 𝑎𝑛𝑑 𝑏 = 4
C. 𝑚 = 2 𝑎𝑛𝑑 𝑏 = – 4
B. 𝑚 = 4 𝑎𝑛𝑑 𝑏 = 2 D. 𝑚 = – 4 𝑎𝑛𝑑 𝑏 = 2
4. What is the equation of a line that passes through the
points (1,3) 𝑎𝑛𝑑 (−2,5)?
A. −2𝑥 + 3𝑦 = 11
C. 2𝑥−3𝑦 = 11
B. 2𝑥 + 3𝑦 = 11
D. 3𝑥 + 2𝑦 = 11
5. If the graph of a linear equation passes through a point
(1, −2) and a slope of 3, what form is being illustrated?
A. point-slope
C. standard
B. slope-intercept
D. two-point
6. What is the equation of a line that passes through the
points (1,3) 𝑎𝑛𝑑 (−2,5)?
A. −2𝑥 + 3𝑦 = 11
C. 2𝑥 − 3𝑦 = 11
B. 2𝑥 + 3𝑦 = 11
D. 3𝑥 + 2𝑦 = 11
7. Given two points (𝑥1, 𝑦1) and (𝑥2, 𝑦2), which of the
following shall be used to determine the equation of the line?
𝑥 𝑦
A. 𝑦 = 𝑚𝑥 + 𝑏
C. + = 1
A. (−4, − 8)
B. (−4, 2)
C. (−4, 8)
D. (3, 4)
3. What is the slope (𝑚) and y – intercept (𝑏) of the
equation 𝑦 = 2𝑥 − 4?
A. 𝑚 =2 𝑎𝑛𝑑 𝑏 = 4
C. 𝑚 = 2 𝑎𝑛𝑑 𝑏 = – 4
B. 𝑚 = 4 𝑎𝑛𝑑 𝑏 = 2 D. 𝑚 = – 4 𝑎𝑛𝑑 𝑏 = 2
4. What is the equation of a line that passes through the
points (1,3) 𝑎𝑛𝑑 (−2,5)?
A. −2𝑥 + 3𝑦 = 11
C. 2𝑥−3𝑦 = 11
B. 2𝑥 + 3𝑦 = 11
D. 3𝑥 + 2𝑦 = 11
5. If the graph of a linear equation passes through a point
(1, −2) and a slope of 3, what form is being illustrated?
A. point-slope
C. standard
B. slope-intercept
D. two-point
6. What is the equation of a line that passes through the
points (1,3) 𝑎𝑛𝑑 (−2,5)?
A. −2𝑥 + 3𝑦 = 11
C. 2𝑥 − 3𝑦 = 11
B. 2𝑥 + 3𝑦 = 11
D. 3𝑥 + 2𝑦 = 11
7. Given two points (𝑥1, 𝑦1) and (𝑥2, 𝑦2), which of the
following shall be used to determine the equation of the line?
𝑥 𝑦
A. 𝑦 = 𝑚𝑥 + 𝑏
C. + = 1
𝑎
B. 𝑦 − 𝑦1 = 𝑚 (𝑥 − 𝑥1)
𝑏
𝑦2 −𝑦1
D. 𝑦 − 𝑦1 = 𝑥
2 − 𝑥1
(𝑥 − 𝑥1 )
8. In the equation −3𝑥 + 𝑦 = 1, what is the 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡?
A. −3
B. −1
C. 1
D. 3
9. Given two points (𝑥1, 𝑦1) and slope, which of the following
shall be used to determine the equation of the line?
𝑥 𝑦
A. 𝑦 = 𝑚𝑥 + 𝑏
C. 𝑎 + 𝑏 = 1
B. 𝑦 − 𝑦1 = 𝑚 (𝑥 − 𝑥1)
𝑦 −𝑦
D. 𝑦 − 𝑦1 = 𝑥 2 − 𝑥1 (𝑥 − 𝑥1 )
2
1
𝑎
B. 𝑦 − 𝑦1 = 𝑚 (𝑥 − 𝑥1)
𝑏
𝑦 −𝑦
D. 𝑦 − 𝑦1 = 𝑥 2 − 𝑥1 (𝑥 − 𝑥1 )
2
1
8. In the equation −3𝑥 + 𝑦 = 1, what is the 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡?
A. −3
B. −1
C. 1
D. 3
9. Given two points (𝑥1, 𝑦1) and slope, which of the following
shall be used to determine the equation of the line?
𝑥 𝑦
A. 𝑦 = 𝑚𝑥 + 𝑏
C. 𝑎 + 𝑏 = 1
B. 𝑦 − 𝑦1 = 𝑚 (𝑥 − 𝑥1)
𝑦 −𝑦
D. 𝑦 − 𝑦1 = 𝑥 2 − 𝑥1 (𝑥 − 𝑥1 )
2
1
10. Which of the following pair of points have a
slope of −2?
A. (2, 4) 𝑎𝑛𝑑 (5, −2)
C. (2 ,5) 𝑎𝑛𝑑 (4, −2)
B. (4, 2) 𝑎𝑛𝑑 (−2, 5)
D. (−2, 2) 𝑎𝑛𝑑 (4, 5)
10. Which of the following pair of points have a
slope of −2?
A. (2, 4) 𝑎𝑛𝑑 (5, −2)
C. (2 ,5) 𝑎𝑛𝑑 (4, −2)
B. (4, 2) 𝑎𝑛𝑑 (−2, 5)
D. (−2, 2) 𝑎𝑛𝑑 (4, 5)
II. Find the equation of the line in the form of y = mx + b in
the following given. (5 pts each)
1. (5, 6) and (-4, 3)
2. m = 3 ; (0, 5)
3. m = 8 and b = -11
4. m = 5 ; (4, -6)
II. Find the equation of the line in the form of y = mx + b in
the following given. (5 pts each)
1. (5, 6) and (-4, 3)
2. m = 3 ; (0, 5)
3. m = 8 and b = -11
4. m = 5 ; (4, -6)