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3 years ago

Use the tables to create the function in slope intercept form

Mathematics

1 answer:

Ivan3 years ago

6 0

1. y = 4x + 9 ; m = 4 ; b = 9

the slope is 4 because there’s a pattern of +4 going down the function table in the “y” column

and b= 9 because at the number 0 on the x line has 9 in the y box

2. y = 3x - 1 ; m = 3 ; b = -1

basically the same thing as the first one just different numbers

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SSSSS [86.1K]

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Normally, when I do this, I differentiate each term first with respect to x then with respect to y. In this solution, I differentiated the entire expression with respect to x, then with respect to y. That makes separating the dx and dy coefficients much easier, so the solution almost falls into your lap.

$-x^4 y + 2 x y^3 + x^3 y^3=0 \qquad\text{given}\\\\(-4x^3y+2y^3+3x^2y^3)dx+(-x^4+6xy^2+3x^3y^2)dy=0\\\\(-4x^3y+2y^3+3x^2y^3)dx=(x^4-6xy^2-3x^3y^2)dy\\\\\boxed{\dfrac{dy}{dx}=\dfrac{-4x^3y+2y^3+3x^2y^3}{x^4-6xy^2-3x^3y^2}}$

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