Mathematics
Grade-8
Easy

Question

x-intercept is same as the y-intercept and sum of the intercepts is 2. The equation of line will be

  1. x – y = 1
  2. x + y + 1 = 0
  3. x + y = 1
  4. x – y + 1 = 0

hintHint:

Find the values of x and y-intercepts and then substitute them in the standard equation formula to get the equation of the line.

The correct answer is: x + y = 1


    G i v e n comma
x minus i n t e r c e p t space equals space y minus i n t e r c e p t
o r space a space equals space b space space space space space space space space...... space open parentheses 1 close parentheses
x minus i n t e r c e p t space plus space y minus i n t e r c e p t space equals space 2
o r space a space plus space b space equals space 2 space space space space..... space open parentheses 2 close parentheses

T o space f i n d comma
t h e space e q u a t i o n space o f space t h e space l i n e

W e space k n o w space t h a t comma
a space plus space b space equals space 2
R e p l a c i n g space t h e space v a l u e space o f space a space f r o m space e q u a t i o n space 1 comma
b space plus space b space equals space 2
2 b space equals space 2
b space equals space 1 space space space space space space....... space open parentheses 3 close parentheses

F r o m space e q u a t i o n space 1 space a n d space 3 comma space w e space g e t
a space equals space 1

N o w comma space t h e space s tan d a r d space e q u a t i o n space f o r m u l a space i s
x over a space plus space y over b space equals space 1
R e p l a c i n g space t h e space v a l u e s space o f space a space a n d space b comma space w e space g e t space t h e space e q u a t i o n space l i n e space a s
x over 1 space plus space y over 1 space equals space 1
x space plus space y space equals space 1

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