Problem

What is an equation of the line that passes through the point \( (6,6) \) and is parallel to the line \( 3 x-2 y=4 \) ?

Solution

Step 1 :1. Write the given line equation in slope-intercept form: \( y=\frac{3}{2}x-2 \)

Step 2 :2. Use slope \( \frac{3}{2} \) and point \( (6,6) \) in point-slope form: \( y-6=\frac{3}{2}(x-6) \)

Step 3 :3. Convert point-slope form to slope-intercept form: \( y=\frac{3}{2}x-3 \)

From Solvely APP
Source: https://solvelyapp.com/problems/40666/

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