If the equation of a line is 2 x − 2 3 y + 3 = 0 2x-2\sqrt{3}y+\sqrt{3}=0 2 x − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> y + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = 0 , its slope and y-intercept are :

1 3 a n d 1 2 \frac{1}{\sqrt{3}}and\ \frac{1}{2} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1 a n d 2 1

1 2 a n d 1 3 \frac{1}{2}and\ \frac{1}{\sqrt{3}} 2 1 a n d 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

3 a n d − 3 2 \sqrt{3}\ and\ -\frac{\sqrt{3}}{2} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> a n d − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 a n d 3 2\ and\ \sqrt{3} 2 a n d 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Equation Of Line

Authored by Abhishek Chaddha

Mathematics

10th Grade

CCSS covered

Used 30+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The slope of the line passing through the points (3, ─ 4) and (7, 3) is :

$\frac{-1}{10}$

$\frac{4}{7}$

$\frac{7}{4}$

$-\frac{4}{7}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The inclination of the line passing through the points
$\left(-1,\ -\sqrt{3}\right)$ and $\left(\sqrt{3},\ 3\right)$ is

$30\degree$

$45\degree$

$60\degree$

$120\degree$

Tags

CCSS.HSG.GPE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The slope of a line parallel to the line joining the points (6, 4) and (2, 12) is :

$-2$

$\frac{1}{2}$

$-\frac{1}{2}$

Tags

CCSS.HSG.GPE.B.5

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the line passing through the points (2, ─ 5) and (─ 2, 5) is perpendicular to the line passing through the points (k, 3) and (1, 1), the value of ‘k’ is :

$\frac{1}{5}$

$\frac{1}{3}$

$-\frac{1}{6}$

Tags

CCSS.HSG.GPE.B.5

CCSS.HSG.GPE.B.4

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The equation of a line whose inclination is 45 and whose y-intercept is 6 is :

x ─ 2y + 12 = 0

x ─ y + 6 = 0

x ─ y ─ 6 = 0

x + y ─ 6 = 0

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If the equation of a line is $2x-2\sqrt{3}y+\sqrt{3}=0$ , its slope and y-intercept are :

$\frac{1}{\sqrt{3}}and\ \frac{1}{2}$

$\frac{1}{2}and\ \frac{1}{\sqrt{3}}$

$\sqrt{3}\ and\ -\frac{\sqrt{3}}{2}$

$2\ and\ \sqrt{3}$

Tags

CCSS.HSG.GPE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The equation of the line passing through (─ 3, 4) and parallel to the line 2x ─ 3y + 7 = 0 is :

3x + 2y ─ 17 = 0

2x ─ y + 10 = 0

2x ─ 3y + 18 = 0

2x ─ 3y ─ 17 = 0

Tags

CCSS.HSG.GPE.B.5

CCSS.HSA.CED.A.2

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Equation Of Line

The slope of the line passing through the points (3, ─ 4) and (7, 3) is :

The inclination of the line passing through the points
$\left(-1,\ -\sqrt{3}\right)$ and $\left(\sqrt{3},\ 3\right)$ is

The slope of a line parallel to the line joining the points (6, 4) and (2, 12) is :

If the line passing through the points (2, ─ 5) and (─ 2, 5) is perpendicular to the line passing through the points (k, 3) and (1, 1), the value of ‘k’ is :

The equation of a line whose inclination is 45 and whose y-intercept is 6 is :

If the equation of a line is $2x-2\sqrt{3}y+\sqrt{3}=0$ , its slope and y-intercept are :

The equation of the line passing through (─ 3, 4) and parallel to the line 2x ─ 3y + 7 = 0 is :

The equation of the line passing through (─ 7, 3) and perpendicular to the line 3x ─ 2y + 5 = 0 is :

: The equation of the line passing through the points (─ 1, 3) and (4, ─ 2) is :

If the points (1, 4), (3, ─ 2) and (p, ─ 5) lie on a line, then the value of ‘p’ is :

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Equation Of Line

The slope of the line passing through the points (3, ─ 4) and (7, 3) is :

The inclination of the line passing through the points (−1, −3)\left(-1,\ -\sqrt{3}\right)(−1, −3​) and (3, 3)\left(\sqrt{3},\ 3\right)(3​, 3) is

The slope of a line parallel to the line joining the points (6, 4) and (2, 12) is :

If the line passing through the points (2, ─ 5) and (─ 2, 5) is perpendicular to the line passing through the points (k, 3) and (1, 1), the value of ‘k’ is :

The equation of a line whose inclination is 45 and whose y-intercept is 6 is :

If the equation of a line is 2x−23y+3=02x-2\sqrt{3}y+\sqrt{3}=02x−23​y+3​=0 , its slope and y-intercept are :

The equation of the line passing through (─ 3, 4) and parallel to the line 2x ─ 3y + 7 = 0 is :

The equation of the line passing through (─ 7, 3) and perpendicular to the line 3x ─ 2y + 5 = 0 is :

: The equation of the line passing through the points (─ 1, 3) and (4, ─ 2) is :

If the points (1, 4), (3, ─ 2) and (p, ─ 5) lie on a line, then the value of ‘p’ is :

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The inclination of the line passing through the points
$\left(-1,\ -\sqrt{3}\right)$ and $\left(\sqrt{3},\ 3\right)$ is

If the equation of a line is $2x-2\sqrt{3}y+\sqrt{3}=0$ , its slope and y-intercept are :