Problem

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

Answer

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Answer

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

Steps

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: \( y=\frac{3}{2}x-3 \)

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