Question

Find the inequality represented by the graph​

Answer 1

y <
`(1)/(4)` x + 3

Explanation:

m =
`(1)/(4)` and coordinates of y-intercept are (0, 3)

y <
`(1)/(4)` x + 3

Answer 2

y < 1/4x + 3

Explanation:

the line is dotted so we know the symbol will not include the "equal to" part

we can also see that the shading in below the y intercept, so we know that the symbol will also be less than

this means the symbol is <

now, create an equation for the line:

we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4

so the slope is 1/4

now put this together and you get 1/4x + 3

this part will go on the right side of the < symbol in your inequality

so now you can create an inequality: y < 1/4x + 3