Question

Which inequality is shown in the graph below?Oy2}x+5oy > 3x + 5Oy S 3x + 5oys *x+

Answer 1

From the graph, y-intercepts are: (0, 5)

Since, it is shaded above the line and it is a thick line, then y is greater or equal

T0 find the slope of the line, pick two points and l;ocate its coordinates

x₁ =0 y₁ = 5 x₂ =-1 y₂ =2

substitute into the slope formula below and evaluate

`m=(y_2-y_1)/(x_2-x_1)`

`=(2-5)/(-1-0)`
`=-(3)/(-1)=3`

substitute m=3 and b = 5 into y≥ mx + b

y ≥ 3x + 5