Questions: 3 x-4 y=4 The equation can be written in slope-intercept form.

Transcript text: 3 x-4 y=4 The equation can be written in slope-intercept form.

Solution

To convert the given linear equation \(3x - 4y = 4\) into slope-intercept form \(y = mx + b\), we need to solve for \(y\) in terms of \(x\).

Solution Approach

Step 1: Isolate the \(y\) term

Starting with the equation: \[ 3x - 4y = 4 \] we need to isolate the term involving \(y\). Subtract \(3x\) from both sides: \[ -4y = -3x + 4 \]

Step 2: Solve for \(y\)

Next, divide both sides by \(-4\) to solve for \(y\): \[ y = \frac{-3x + 4}{-4} \] Simplify the expression: \[ y = \frac{3x}{4} - 1 \]

\[ \boxed{y = \frac{3}{4}x - 1} \]

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