Mathematics

# What is the acute angle between the lines y = 3x + 2 and y = 4x + 9?

4.4$\displaystyle ^{\circ}$

##### SOLUTION
$y=3x+2$
$m_1=3$
$=>tan\theta_1=3$
$=>\theta_1=tan^{-1}(3)$
$=>\theta_1=71.57^{0}$
Again,
$y=4x+9$
$=>m_2=4$
$=>tan\theta_2=4$
$=>\theta_2=tan^{1}(4)$
$=>\theta_2=75.96^{0}$
$\therefore$ Angle between the lines
$=\theta_2-\theta_1$
$=75.96-71.56$
$=4.4^{0}$

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Single Correct Medium Published on 09th 09, 2020
Questions 120418
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