Adv
Deepak Bora
  • 2
Newbie

Find the equation of a line, which has the y-intercept 4, and is parallel to the line 2x – 3y – 7 = 0. Find the coordinates of the point where it cuts the x-axis.

  • 2

ICSE Board Question Based on Equation of a Straight Line Chapter of M.L Aggarwal for class10
A line has a y-intetrcept and it is parallel to a line.
You have to find the coordinates of the point where it cuts the x-axis.
This is the Question Number 11, Exercise 12.2 of M.L Aggarwal.

Share

1 Answer

  1. Given line: 2x – 3y – 7 = 0

    Its slope is,

    3y = 2x – 7

    y = (2/3) x – 7/3

    ⇒ m = 2/3

    So, the equation of the line parallel to the given line will be 2/3

    Also given, the y-intercept is 4 = c

    Hence, the equation of the line is given by

    y = mx + c

    y = (2/3) x + 4

    3y = 2x + 12

    2x – 3y + 12 = 0

    Now, when this line intersects the x-axis the y co-ordinate becomes zero.

    So, putting y = 0 in the line equation, we get

    2x – 3(0) + 12 = 0

    2x + 12 = 0

    x = -12/2 = 6

    Hence, the co-ordinates of the point where it cuts the x-axis is (-6, 0).

    • 6
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions