x-intercept is twice of y-intercept and the sum of the intercepts is 6. The equation of line will be

2x + y = 4
x + 2y = 4
x + 4y = 2
4x + y = 2

hint Hint:

Use substitution method to find the values of both the intercepts and then replace their value in the standard equation to obtain the line equation.

The correct answer is: x + 2y = 4

$G i v e n comma x minus i n t e r c e p t space equals space 2 open parentheses y minus i n t e r c e p t close parentheses minus greater than space a space equals space 2 b space space..... space 1 x minus i n t e r c e p t space plus space y minus i n t e r c e p t space equals space 6 minus greater than space a space plus space b space equals space 6 space space space space..... space 2 T o space f i n d comma t h e space e q u a t i o n space o f space t h e space l i n e R e p l a c i n g space a space w i t h space e q u a r i o n space 1 space i n space e q u a t i o n space 2 comma 2 b space plus space b space equals space 6 3 b space equals space 6 b space equals space open parentheses 6 over 3 close parentheses space equals space 2 R e p l a c i n g space t h e space v a l u e space o f space b space i n space e q u a t i o n space 1 comma a space equals space 2 b space equals space 2 open parentheses 2 close parentheses space equals space 4 T h e space e q u a t i o n space o f space t h e space l i n e space i s space r e p r e s e n t e d space b y open parentheses x over a close parentheses space plus space open parentheses y over b close parentheses space equals space 1 R e p l a c i n g space t h e space v a l u e s space o f space a space a n d space b space i n space t h e space a b o v e space e q u a t i o n comma open parentheses x over 4 close parentheses space plus space open parentheses y over 2 close parentheses space equals space 1 fraction numerator x space plus space 2 y over denominator 4 end fraction space equals space 1 x space plus space 2 y space equals space 4$

$text The end text y text -intercept of the equation end text square root of 2 x plus fraction numerator 5 over denominator square root of 2 end fraction equals square root of 3 y text is end text$

MathematicsGrade-8

Grade-8

Mathematics

The sum of both the intercepts in the equation 4x + 2 = y is

A y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system. To find the y-intercept, set x = 0 and solve for y.

An x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system. To find the x-intercept set y = 0 and solve for x.

The sum of both the intercepts in the equation 4x + 2 = y is

MathematicsGrade-8

A y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system. To find the y-intercept, set x = 0 and solve for y.

An x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system. To find the x-intercept set y = 0 and solve for x.