Give the equations of two lines passing through (2, 14). how many more such lines are there?

[Total: 0 Average: 0]

(2, 14) means x = 2 and y =14 Equations which have (2, 14) as the solution are (i) x + y = 16 (ii) 7x – y =0

There are infinite number of lines passing through (2, 14), because infinite number of lines can be drawn through a point.

The equations of two lines passing through (2, 14) can be taken asx + y= 16and 7x – y = 0.

There are infinitely many such lines because through a point an infinite number of lines can be drawn.

Given points = (2, 14)

Therefore,

x = 2 and y = 14

Then the first equation will be

x + y

= 2 + 14 = 16

x + y = 16

The second equation will be

x – y

= 2 – 14 = -12

x – y = -12

The third equation will be

y = 7x

7x – y = 0

The equations of two lines passing through (2, 14) are infinite.

There can be an infinite number of lines. This is because, through one point, infinite lines can pass

Explore more such questions and answers at BYJU’S.

Was this answer helpful?

4.5 (13)

Thank you. Your Feedback will Help us Serve you better.

Last updated at Dec. 8, 2016 by

Ex 4.3, 2 Give the equations of two lines passing through (2, 14). How many more such lines are there, and why? There can be infinite number of lines as seen in figure, as infinitely many lines pass through a point Point (2, 14) Hence, x = 2, y = 14 Eg: y – x = 12 x + y = 16 y = 7x

Page 2

Last updated at Dec. 8, 2016 by Teachoo

Next: Ex 4.3, 4 Important →

Ex 4.3, 3 If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a. Given 3y = ax + 7 Putting x = 3 and y = 4 3(4) = a(3) + 7 12 = 3a + 7 3a = 12 – 7 3a = 5 a = 5/3