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Mathematics

Grade-8

Easy

Question

The sum of the intercepts of the equation 7x + 9y + 5 = 0 is

$\frac{- 40}{63}$
$\frac{- 80}{63}$
$\frac{40}{63}$
$\frac{80}{63}$

hint Hint:

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.
Find the value of the intercepts and add up to find the answer.

The correct answer is: $fraction numerator negative 80 over denominator 63 end fraction$

$G i v e n comma E q u a t i o n space 7 x space plus space 9 y space plus space 5 space equals space 0 T o space f i n d comma S u m space o f space t h e space i n t e r c e p t s F o r space x minus i n t e r c e p t comma space y equals 0 7 x space plus space 9 y space plus space 5 space equals space 0 7 x space plus space 9 open parentheses 0 close parentheses space plus space 5 space equals space 0 7 x space plus space 5 space equals space 0 7 x space equals space minus 5 x space equals space open parentheses fraction numerator negative 5 over denominator 7 end fraction close parentheses F o r space y minus i n t e r c e p t comma space x equals 0 7 x space plus space 9 y space plus space 5 space equals space 0 7 open parentheses 0 close parentheses space plus space 9 y space plus space 5 space equals space 0 9 y space plus space 5 space equals space 0 9 y space equals space minus 5 y space equals open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses S u m space o f space t h e space i n t e r c e p t s space equals space x space plus space y space equals space open parentheses fraction numerator negative 5 over denominator 7 end fraction close parentheses space plus space open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses space equals space open parentheses fraction numerator negative 45 space plus space open parentheses negative 35 close parentheses over denominator 63 end fraction close parentheses space equals space open parentheses fraction numerator negative 80 over denominator 63 end fraction close parentheses$

Related Questions to study

For $square root of 2 x plus square root of 3 y equals square root of 4$ ,
Adam says x-intercept is $square root of 2$
Jack says y-intercept is $square root of 3$
John says slope is $fraction numerator negative square root of 2 over denominator square root of 3 end fraction$
The correct answers were given by

For $square root of 2 x plus square root of 3 y equals square root of 4$ ,
Adam says x-intercept is $square root of 2$
Jack says y-intercept is $square root of 3$
John says slope is $fraction numerator negative square root of 2 over denominator square root of 3 end fraction$
The correct answers were given by

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parallel

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