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Mathematics

Grade-8

Easy

Question

Identify the linear equation that represents the graph.

y = −3x − 2
y = 3x + 2
y = − $\frac{1}{3}$ x + 2
y = $\frac{1}{3}$ x − 2

hint Hint:

from the given figure we can find the y - intercept ( that is = c, we know )
now we have to find the value of slope (m) to find the linear equation
take two point on the line first will be the y-intercept ( 0,-2) and second is in second quadrant that is (-1,1) you can see in the graph

The correct answer is: y = −3x − 2

$y space equals space minus 3 x space minus space 2 space i s space t h e space c o r r e c t space c h o i c e a c c o r d i n g space t o space t h e space g i v e n space f i g u r e space y space i n t e r c e p t space equals space minus 2 s o space c space equals negative 2 w e space k n o w space t h e space i n t e r c e p t space f o r m space o f space t h e space e q u a t i o n y space equals space m x space plus space c space space... space left parenthesis a right parenthesis p u t space t h e space v a l u e space o f space c space i n space t h e space e q u a t i o n space a y space equals space m x space minus 2 n o w space w e space h a v e space t o space f i n d space t h e space v a l u e space o f space m l i n e space p a s s e s space t h r o u g h space left parenthesis negative 1 comma 1 space right parenthesis space a n d space left parenthesis space 0 comma negative 2 right parenthesis space left parenthesis space y space minus i n t e r c e p t right parenthesis s o space m space equals space fraction numerator negative 2 minus 1 over denominator 0 minus left parenthesis negative 1 right parenthesis end fraction space equals space fraction numerator negative 3 over denominator 1 end fraction space equals space minus 3 s o space s l o p e space m equals space minus 3 space s o space l i n e a r space e q u a t i o n space t h a t space r e p r e s e n t s space t h e space g r a p h space i s space left parenthesis space y space equals space m x space plus space c right parenthesis y space equals space minus 3 x space minus 2 space i s space t h e space a n s w e r$

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