Question

Find the inequality represented by the graph ​

Answer 1

`\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!