Mathematics

Grade-8

Easy

Question

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

0.5
1.5
2.5
3.5

hint Hint:

Find the intercepts of the given equation and then add them up to obtain the answer.

The correct answer is: 1.5

$G i v e n comma E q u a t i o n space equals space 4 x space plus space 2 space equals space y T o space f i n d comma S u m space o f space b o t h space t h e space i n t e r c e p t s F o r space x minus i n t e r c e p t comma space y equals 0 4 x space plus space 2 space equals space y 4 x space plus space 2 space equals space 0 4 x space equals space minus 2 x space equals space open parentheses fraction numerator negative 2 over denominator 4 end fraction close parentheses x space equals space open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses F o r space y minus i n t e r c e p t comma space x equals 0 4 x space plus space 2 space equals space y 4 open parentheses 0 close parentheses space plus space 2 space equals space y 0 space plus space 2 space equals space y y space equals space 2 T h e r e f o r e comma space t h e space s u m space o f space b o t h space t h e space i n t e r c e p t s space equals space open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses space plus space 2 space equals space open parentheses fraction numerator negative 1 space plus space 4 over denominator 2 end fraction close parentheses space equals space open parentheses 3 over 2 close parentheses space equals space 1.5$

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.

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Can’t find what you’re looking for?

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

0.51.52.53.5

Find the intercepts of the given equation and then add them up to obtain the answer.

The correct answer is: 1.5

Related Questions to study

Sam chose x-intercept as 1 and John chose y-intercept as 10, the equation of line is

Sam chose x-intercept as 1 and John chose y-intercept as 10, the equation of line is

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

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

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

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

The x-intercept of the line 2x + 3 = y is

The x-intercept of the line 2x + 3 = y is

The line equation with y-intercept 4 is

The line equation with y-intercept 4 is

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

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

The sum of x and y-intercept in the line 2x + y = 1 is

The sum of x and y-intercept in the line 2x + y = 1 is

The y-intercept of the line that passes through the origin is

The y-intercept of the line that passes through the origin is

The y-intercept of the line

The y-intercept of the line

The sum of slope and y-intercept of the line 2x + 3y = 1 is

The sum of slope and y-intercept of the line 2x + 3y = 1 is

The x-intercept of the line 4x + 2y = 6 is

The x-intercept of the line 4x + 2y = 6 is

The y-intercept of the line 2 x + 3 = y is

The y-intercept of the line 2 x + 3 = y is

For furnishing and tiles, the plain white tiles cost $80 for 6 tiles; a bed costs $160, the design tile costs $100 for 5 tiles. The costliest among the following is

For furnishing and tiles, the plain white tiles cost $80 for 6 tiles; a bed costs $160, the design tile costs $100 for 5 tiles. The costliest among the following is

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The cost of pizza is $8, the cost of 2 burgers is $7. The costliest among the following is

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0.5
1.5
2.5
3.5