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Mathematics

Grade-8

Easy

Question

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

$\frac{a}{c}$
$\frac{c}{a}$
$\frac{b}{c}$
$\frac{c}{b}$

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.

The correct answer is: $c over b$

$G i v e n comma l i n e space e q u a t i o n space a x space plus space b y space equals space c T o space f i n d comma y minus i n t e r c e p t F o r space y minus i n t e r c e p t comma space x equals 0 H e n c e comma a x space plus space b y space equals space c a open parentheses 0 close parentheses space plus space b y space equals space c b y space equals space c y space equals space open parentheses c over b close parentheses T h e r e f o r e comma space y minus i n t e r c e p t space f o r space t h e space l i n e space a x space plus space b y space equals space c space i s space open parentheses c over b close parentheses.$

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