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Find the inequality represented by the graph ​

Find the inequality represented by the graph ​-example-1

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Answer:


\displaystyle y > (1)/(2) x + 2

Explanation:

we want to figure out the inequality of the given graph to do so we can consider the following inequality


\displaystyle y > mx + b

where:

  • m represents the slope
  • b represents the y-intercept

from the graph we acquire that b (y-intercept) is 2

to figure out m we can consider the following formula:


\displaystyle m = ( \Delta y)/( \Delta x)

since the change in y is 1 and x is 2 we obtain:


\displaystyle m = ( 1)/( 2)

altogether substitute which yields:


\displaystyle y > (1)/(2) x + 2

and we are done!

User Asad Shah
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