Equation Of Line

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

• $\frac{-1}{10}$

• $\frac{4}{7}$

• $\frac{7}{4}$

• $-\frac{4}{7}$

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

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

• $-2$

• 2

• $\frac{1}{2}$

• $-\frac{1}{2}$

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

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 :

• $\frac{1}{5}$

• $\frac{1}{3}$

• $-\frac{1}{6}$

• 6

Tags

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

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

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

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.HSA.CED.A.2

CCSS.HSG.GPE.B.5

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

• 3x ─ 2y ─ 23 = 0

• 3x ─ 2y + 27 = 0

• 2x + 3y + 15 = 0

• 2x + 3y + 5 = 0

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

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

• x + y ─ 2 = 0

• x ─ y + 4 = 0

• 3x + 2y ─ 3 = 0

• x ─ y + 6 = 0

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

• 16

• 4

• 22

• 28

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11