Question

Find the inequality represented by the graph.

Answer 1

Answer: y<3x-4

Explanation:

`(0,-4) \ \ \ \ \ \ (1,-1)`

The equation of the line

`\displaystyle\\\boxed {(x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1) }`

`\displaystyle\\x_1=0\ \ \ \ x_2=1\ \ \ \ y_1=-4\ \ \ \ y_2=-1\\Hence,\\(x-0)/(1-0) =(y-(-4))/(-1-(-4)) \\\\(x)/(1) =(y+4)/(-1+4) \\x=(y+4)/(3)`

Умножьте обе части уравнения на 3:

`3x=y+4\\3x-4=y+4-4\\3x-4=y`

Thus, y<3x-4