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14 questions · timed · auto-graded

Question 11 Mark
Find the slope and y-intercept of the line: y = 4
Answer
y = 4
Comparing this equation with y = mx + c, we have:
Slope = m = 0
y-intercept = c = 4
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Question 21 Mark
Find the slope of the line parallel to AB if: A = (0, −3) and B = (−2, 5)
Answer
Slope of $A B=\frac{5+3}{-2-0}$
Slope of $A B=\frac{8}{2}$
Slope of $A B=-4$
Slope of the line parallel to AB = Slope of AB = -4
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Question 31 Mark
Find the slope of the line parallel to AB if: A = (−2, 4) and B = (0, 6)
Answer
Slope of $A B=\frac{6-4}{0+2}$
Slope of A B=2/2
Slope of A B=1
Slope of the line parallel to AB = Slope of AB = 1
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Question 41 Mark
Find the slope of the line passing through the $(a, −b)$ and $(b, −a)$
Answer
$\text { Slope }=\frac{y_2-y_1}{x_2-x_1} $
$ \text { Slope }=\frac{-a+b}{b-a}$
Slope $=1$
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Question 51 Mark
Find the slope of the line passing through the $(−4, 0)$ and origin
Answer
$\text { slope }=\frac{y_2-y_1}{x_2-x_1} $
$ \text { slope }=\frac{0-0}{0+4} $
$ \text { slope }=\frac{0}{4} $
$ \text { slope }=0$
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Question 61 Mark
Find the slope of the line passing through the $(−2, −3)$ and $(1, 2)$
Answer
We know:
$\text { slope }=\frac{y_2-y_1}{x_2-x_1} $
$ \text { slope }=\frac{2+3}{1+2} $
$ \text { slope }=\frac{5}{3}$
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Question 71 Mark
Find the inclination of the line whose slope is: $1.0875$
Answer
$\text { Slope }=\tan \theta $
$ \Rightarrow \tan ^{-1}(1.0875)=\theta $
$ \Rightarrow \theta=47^{\circ} 24 \prime$
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Question 81 Mark
Find the inclination of the line whose slope is: $0.7646$
Answer
$\text { Slope }=\tan \theta $
$ \Rightarrow \tan ^{-1}(0.7646)=\theta $
$ \Rightarrow \theta=37^{\circ} 24 \prime$
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Question 91 Mark
Find the inclination of the line whose slope is: $\sqrt{3}$
Answer
$\text { Slope }=\tan \theta $
$\Rightarrow \tan ^{-1} \sqrt{3}=\theta $
$ \Rightarrow \theta=60^{\circ}$
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Question 101 Mark
Find the inclination of the line whose slope is: $0$
Answer
$\text { Slope }=\tan \theta $
$\Rightarrow \tan ^{-1} 0=\theta$
$\Rightarrow \theta=0$
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Question 111 Mark
Find the slope of the line whose inclination is $: 46^\circ$
Answer
$\text { Slope }=\tan \theta $
$\text { slpoe }=\tan 46^{\circ} $
$ \text { slope }=1.0355$
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Question 121 Mark
Find the slope of the line whose inclination is:$ 72^\circ 30'$
Answer
$\text { Slope }=\tan \theta $
$\text { slpoe }=\tan 72^{\circ} 30 \prime $
$\text { slope }=3.1716$
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Question 131 Mark
Find the slope of the line whose inclination is: $30^\circ$
Answer
$\text { Slope }=\tan \theta $
$ \text { slpoe }=\tan 30^{\circ} $
$ \text { slope }=\frac{1}{\sqrt{3}}$
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Question 141 Mark
Find the slope of the line whose inclination is: $0^\circ$
Answer
$\text { slope }=\tan \theta $
$ \text { slope }=\tan 0^{\circ}$
$\text { slope }=0$
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[1 Mark Question Answer] - Mathematics STD 10 Questions - Vidyadip