Mathematics

Grade-8

Easy

Question

While giving information Sarah mistakenly gives x-intercept as y-intercept and y-intercept as x-intercept, the equation becomes 2x + y = 1. The original equation is

2x – y = 1
2x + y = - 1
x + 2y = - 1
x + 2y = 1

hint Hint:

To find the correct x-intercept and y-intercept, find the intercepts of the given equation and interchange them to find the original equation.

The correct answer is: x + 2y = 1

$T o space f i n d space t h e space c o r r e c t space x minus i n t e r c e p t space a n d space y minus i n t e r c e p t comma space w e space n e e d space t o space f i n d space t h e space i n t e r c e p t s space o f space t h e space e q u a t i o n space 2 x space plus space y space equals space 1. F o r space x minus i n t e r c e p t comma space y equals 0 2 x space plus space y space equals space 1 2 x space plus space 0 space equals space 1 2 x space equals space 1 x space equals space open parentheses 1 half close parentheses F o r space y minus i n t e r c e p t comma space x equals 0 2 x space plus space y space equals space 1 2 open parentheses 0 close parentheses space plus space y space equals space 1 y space equals space 1 S a r a h space i n t e r c h a n g e d space x minus i n t e r c e p t space a n d space y minus i n t e r c e p t. space H e n c e comma n e w space y minus i n t e r c e p t space equals space o l d space x minus i n t e r c e p t space equals open parentheses 1 half close parentheses a n d n e w space x minus i n t e r c e p t space equals space o l d space y minus i n t e r c e p t space equals space 1 H e r e comma space t h e space o r i g i n a l space e q u a t i o n space i s open parentheses x over a close parentheses space plus open parentheses y over b close parentheses space equals space 1 open parentheses x over 1 close parentheses space plus open parentheses fraction numerator y over denominator begin display style 1 half end style end fraction close parentheses space equals space 1 x space plus space 2 y space equals space 1$

The y-intercept of the line

A y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system.

The y-intercept of the line

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A y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system.

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While giving information Sarah mistakenly gives x-intercept as y-intercept and y-intercept as x-intercept, the equation becomes 2x + y = 1. The original equation is

2x – y = 12x + y = - 1x + 2y = - 1x + 2y = 1

To find the correct x-intercept and y-intercept, find the intercepts of the given equation and interchange them to find the original equation.

The correct answer is: x + 2y = 1

Related Questions to study

David asks Jordan to guess an equation with x-intercept and y-intercept 2.

David asks Jordan to guess an equation with x-intercept and y-intercept 2.

The y-intercept of the line ax + by = c is

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The line equation with y-intercept 4 is

The equation of a line with slope 2 and y-intercept – 1 is

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2x – y = 1
2x + y = - 1
x + 2y = - 1
x + 2y = 1