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What is the value of p if the gradient of the line joining (-1,p) and...

Mathematics
JAMB 2009
What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is
2
3
?
  • A. -2
  • B. -1
  • C. 1
  • D. 2
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Correct Answer: Option D
Explanation
Gradient = y2 - y1
x2 - x1

2
3
 = 4-p
p-(-1)

2
3
 = 4-p
p+1

3(4-p) = 2(p+1)
12 - 3p = 2p + 2
12 – 2 = 2p + 3p
10 = 5p
p = 10
5

= 2

There is an explanation video available below.

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Explanation Video

WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free