Question

Which of the following graphs would represent the solution set for y > 4/5 x – 1?

Answer 1

A>0 so function rises

b=-1 so for x=0 ⇒ y<-1

we look for y that is above the line

so answer is the last graph.



"Non nobis Domine, non nobis, sed Nomini tuo da gloriam."



Regards M.Y.

Answer 2

Answer:

The correct option is 1.

Step-by-step explanation:

The given inequality is

$y>\frac{4}{5}x-1$

The related equation of the given inequality is

$y=\frac{4}{5}x-1$

Put x=0,

$y=\frac{4}{5}(0)-1$

$y=0-1=-1$

Therefore the y-intercept is (0,-1).

Put y=0,

$0=\frac{4}{5}x-1$

$1=\frac{4}{5}x$

$\frac{5}{4}=x$

Therefore the x-intercept is $(\frac{5}{4},0)$.

Check the given inequality by (0,0).

$0>\frac{4}{5}(0)-1$

$0>-1$

This statement is true, therefore the shaded region of inequity is towards the origin.

So, option 1 is correct.