Given the system of inequalities:

4x – 5y < 1

one-halfy – x < 3

which shows the given inequalities in slope-intercept form?

y < four-fifthsx – one-fifth

y < 2x + 6

y > four-fifthsx – one-fifths

y < 2x + 6

y > negative four-fifthsx + one-fifth

y > 2x + 6

slope intercept form is option 3 -

slope intercept form is option 4 -

Step-by-step explanation:

Given : The system of inequalities and

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

Solution :

The slope intercept form is where m is the slope and b is y-intercept.

First inequality is

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

Divide both side by 5,

Multiply both side by -1,

So, Option 3 is correct.

Second inequality is

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

Multiply both side by 2,

So, Option 4 is correct.

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step-by-step explanation: