Mathematics
Grade-8
Easy

Question

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

  1. a over c
  2. c over a
  3. b over c
  4. c over b

hintHint:

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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