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texaschic101
slope intercept form : y = mx + b

4x - 5y < 1
-5y < -4x + 1
y > 4/5x - 1/5 <== slope intercept form

y - x > 3
y > x + 3 <== slope intercept form

Slope intercept form of the given inequalities are [tex]y > \frac{4}{5}x -\frac{1}{5}[/tex] and [tex]y > x+3[/tex] .

What is Slope intercept form ?

Slope intercept form is one of the forms used to calculate the equation of a straight line.

i.e. [tex]y=mx+b[/tex]

Here, [tex]m=[/tex] slope and  [tex]b=y-[/tex]intercept ,

We have,

[tex]4x - 5y < 1[/tex] ,

[tex]y - x < 3[/tex]

So,

Slope is in this, [tex]y=mx+b[/tex]

To find the Slope intercept form we have to rewrite the given inequalities in slope form,

So,

[tex]4x - 5y < 1[/tex],

[tex]5y < 4x - 1[/tex]

[tex]y > \frac{4}{5}x -\frac{1}{5}[/tex]

Now, rewrite another equation,

[tex]y - x < 3[/tex]

[tex]y > x+3[/tex]

So, the Slope intercept forms are [tex]y > \frac{4}{5}x -\frac{1}{5}[/tex] and [tex]y > x+3[/tex] of the given inequalities.

Hence, we can say that the probability that the Slope intercept form of the given inequalities are [tex]y > \frac{4}{5}x -\frac{1}{5}[/tex] and [tex]y > x+3[/tex] .

To know more about Slope intercept forms click here

https://brainly.com/question/9682526

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