Question

Given the system of inequalities:

Answer 1

Answer:

y >_4/5x – 1/5 ; greater than or equal to symbol next to the y

y < _2x + 6; less than or equal to symbol next to the y

Step-by-step explanation:

Answer 2

Answer:

$4x-5y$ slope intercept form is option 3 - $y>\frac{4x}{5}-\frac{1}{5}$

$\frac{1}{2}y-x$ slope intercept form is option 4 - $y$

Step-by-step explanation:

Given : The system of inequalities $4x-5y$ and $\frac{1}{2}y-x$

To find : Which shows the given inequalities in slope-intercept form?

Solution :

The slope intercept form is $y=mx+b$ where m is the slope and b is y-intercept.

First inequality is $4x-5y$

Now we take y to one side by subtracting 4x both side,

$-5y$

Divide both side by 5,

$-y$

Multiply both side by -1,

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

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

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

So, Option 3 is correct.

Second inequality is $\frac{1}{2}y-x$

Now we take y to one side by adding x both side,

$\frac{1}{2}y$

Multiply both side by 2,

$y$

$y$

$y$

So, Option 4 is correct.