Find the equation of the straight line which passes through (1, 2) and is perpendicular to the straight line 5x+6y-2=0 5 x + 6 y − 2 = 0 .

6 x − 5 y + 4 = 0 6x-5y+4=0 6 x − 5 y + 4 = 0

5 x − 6 y + 7 = 0 5x-6y+7=0 5 x − 6 y + 7 = 0

5 x + 6 y − 17 = 0 5x+6y-17=0 5 x + 6 y − 1 7 = 0

6 x + 5 y − 16 = 0 6x+5y-16=0 6 x + 5 y − 1 6 = 0

Find the equation of straight line L in the figure.

x − 2 y − 5 = 0 x-2y-5=0 x − 2 y − 5 = 0

x + 2 y + 3 = 0 x+2y+3=0 x + 2 y + 3 = 0

2 x − y − 4 = 0 2x-y-4=0 2 x − y − 4 = 0

Two points A (-1, -4) and B (3, -6) are given. The equation of the perpendicular bisector of AB is

2 x − y − 7 = 0 2x-y-7=0 2 x − y − 7 = 0 .

2 x + y + 3 = 0 2x+y+3=0 2 x + y + 3 = 0 .

x + 2 y + 9 = 0 x+2y+9=0 x + 2 y + 9 = 0 .

x − 2 y − 11 = 0 x-2y-11=0 x − 2 y − 1 1 = 0 .

Challenging Question: In the figure, OABC is a parallelogram. If the equation of OA is y=\frac{1}{2}x y = 2 1 x and AB = 4 units, find the equation of BC.

x − 2 y − 4 = 0 x-2y-4=0 x − 2 y − 4 = 0

2 x + y + 8 = 0 2x+y+8=0 2 x + y + 8 = 0

2 x + y − 8 = 0 2x+y-8=0 2 x + y − 8 = 0

x − 2 y + 4 = 0 x-2y+4=0 x − 2 y + 4 = 0

S4 Equations of Straight Lines

Authored by PM Shum

Mathematics

10th Grade

CCSS covered

Used 78+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the equation of the straight line with slope 2 passing through (-3, 4) .

$2x-y-2=0$

$2x-y-10=0$

$2x-y+2=0$

$2x-y+10=0$

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the equation of the straight line with slope -7 and y-intercept 4 .

$4x-y-7=0$

$7x+y-4=0$

$x-4y+7=0$

$x+7y-4=0$

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

$x+2y-6=0$

$x+2y-9=0$

$x+14y+12=0$

$x+14y+18=0$

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Straight line $3x-9y-k=0$ passes through A(2, 1) . Find the value of $k$ .

-15

-3

Tags

CCSS.HSA.CED.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Two points A(2, -4) and B(-6, 4) are given. P is the mid-point of line segment AB . Find the equation of the straight line with the slope of 3 passing through P .

$y=-x-2$

$y=3x$

$y=3x+2$

$y=3x+6$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the slope of the straight line $2x-6y+9=0$ .

-3

$-\frac{1}{3}$

$\frac{1}{3}$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the x-intercept and y-intercept of straight line $2x+5y-10=0$ .

x-intercept = $-\frac{2}{5}$ , y-intercept = 5

x-intercept = $-\frac{5}{2}$ , y-intercept = 2

x-intercept = 5 , y-intercept = 2

x-intercept = 5 , y-intercept = 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The x-intercept of straight line $kx-2ky-21=0$ is 7 . Find the y-intercept of L.

$-\frac{7}{2}$

-3

$\frac{7}{2}$

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If straight line $x-2y+4=0$ cuts the x-axis and y-axis at P and Q respectively, find the area of $\Delta$ OPQ.

Area = 1

Area = 2

Area = 4

Area = 8

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Straight lines $L1:\ 3x-2y+7=0\ ,$ $L2:\ 2x+3y-4=0\$ and $L3:\ 3x+2y+6=0$ are given. Which of the following must becorrect?
     I.   L1 // L2
     II.  L1 $\perp$   L2
     III. L2 $\perp$   L3

I only

II only

I and III only

None of the above

Tags

CCSS.HSG.GPE.B.5

CCSS.HSG.CO.A.1

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S4 Equations of Straight Lines

Find the equation of the straight line with slope 2 passing through (-3, 4) .

Find the equation of the straight line with slope -7 and y-intercept 4 .

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

Straight line 3x−9y−k=03x-9y-k=03x−9y−k=0 passes through A(2, 1) . Find the value of kkk .

Two points A(2, -4) and B(-6, 4) are given. P is the mid-point of line segment AB . Find the equation of the straight line with the slope of 3 passing through P .

Find the slope of the straight line 2x−6y+9=02x-6y+9=02x−6y+9=0 .

Find the x-intercept and y-intercept of straight line 2x+5y-10=02x+5y−10=0 .

The x-intercept of straight line kx-2ky-21=0kx−2ky−21=0 is 7 . Find the y-intercept of L.

If straight line x-2y+4=0x−2y+4=0 cuts the x-axis and y-axis at P and Q respectively, find the area of Δ\DeltaΔ OPQ.

Straight lines L1: 3x−2y+7=0 ,L1:\ 3x-2y+7=0\ ,L1: 3x−2y+7=0 , L2: 2x+3y−4=0 L2:\ 2x+3y-4=0\ L2: 2x+3y−4=0 and L3:\ 3x+2y+6=0L3: 3x+2y+6=0 are given. Which of the following must becorrect? I. L1 // L2 II. L1 ⊥\perp⊥ L2 III. L2 ⊥\perp⊥ L3

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Discover more resources for Mathematics

Straight line $3x-9y-k=0$ passes through A(2, 1) . Find the value of $k$ .

Find the slope of the straight line $2x-6y+9=0$ .

Find the x-intercept and y-intercept of straight line $2x+5y-10=0$ .

The x-intercept of straight line $kx-2ky-21=0$ is 7 . Find the y-intercept of L.

If straight line $x-2y+4=0$ cuts the x-axis and y-axis at P and Q respectively, find the area of $\Delta$ OPQ.

Straight lines $L1:\ 3x-2y+7=0\ ,$ $L2:\ 2x+3y-4=0\$ and $L3:\ 3x+2y+6=0$ are given. Which of the following must becorrect?
I. L1 // L2
II. L1 $\perp$ L2
III. L2 $\perp$ L3