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Mathematics

Grade-8

Easy

Question

Identify the slope and y-intercept of the relation represented by the equation 10x + 5y– 15 = 0.

Slope: 2, y-intercept: 3
Slope: 2, y-intercept: –3
Slope: –2, y-intercept: 3
Slope: –2, y-intercept: –3

hint Hint:

compare the given equation with intercept form of the equation
y = mx + c

The correct answer is: Slope: –2, y-intercept: 3

$s l o p e space equals space minus 2 space a n d space y space i n t e r c e p t space equals space 3 space space comma space i s space t h e space c o r r e c t space c h o i c e 10 x space plus space 5 y space minus 15 space equals 0 m a k e space t h e space g i v e n space e q u a t i o n space i n space t h e space i n t e r c e p t space f o r m space o f space l i n e space e q u a t i o n y space equals space m x space plus space c space left parenthesis space w h e r e space c space i s space t h e space y space i n t e r c e p t right parenthesis g i v e n space e q u a t i o n 10 x space plus space 5 y space equals space 15 d i v i d e space b y space 5 space b o t h space s i d e space fraction numerator 10 x space plus space 5 y over denominator 5 end fraction space equals 15 over 5 fraction numerator 10 x over denominator 5 end fraction space plus space fraction numerator 5 y over denominator 5 end fraction space equals space 3 2 x space plus space y space equals space 3 y space equals space minus 2 x space plus space 3.... space left parenthesis a right parenthesis n o w space c o m p a r e space w i t h space i n t e r c e p t space f o r m space o f space e q u a t i o n y space equals space m x space plus space c.... left parenthesis b right parenthesis space s l o p e space equals space minus 2 space a n d space y space i n t e r c e p t space equals space 3$

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