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$4y - 3x = 40$

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Find equations of tangent lines using limits

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Q.

4y - 3x = 40

Isolate variable y: Isolate the variable $y$ on one side of the equation. $\newline$ To do this, we need to move the term involving $x$ to the other side of the equation. $\newline$ Starting with $4y - 3x = 40$ , we add $3x$ to both sides to isolate $y$ . $\newline$ $4y - 3x + 3x = 40 + 3x$ $\newline$ This simplifies to $4y = 3x + 40$ .
Add and simplify: Divide both sides of the equation by $4$ to solve for $y$ . $\newline$ $\frac{4y}{4} = \frac{3x + 40}{4}$ $\newline$ This simplifies to $y = \frac{3x}{4} + 10$ .

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