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The equation of the line in the graph is 

Mathematics
JAMB 2020

The equation of the line in the graph is 

  • A. 3y = 3x + 12
  • B. 3y = 3x + 12
  • C. 3y = -4x + 12
  • D. 3y = -4x + 9
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Correct Answer: Option C
Explanation

Gradient of line = \(\frac{\text{Change in y}}{\text{Change in x}}\) = \(\frac{y_2 - Y}{x_2 - x}\) 

y\(_2\)  = 0\(_1\) 

Y\(_1\)  = 4 

x\(_2\)  = 3 and x\(_1\)  = 0

\(\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}\)

Equation of straight line y = mx + c

Where m = gradient and c = y 

intercept = 4 

y = 4x + \(\frac{4}{3}\) multiply through y 

3y = 4x + 23 

 

There is an explanation video available below.


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Explanation Video

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