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Answer:

[tex]\sf \boxed{ \sf y - 3 = \dfrac{3}{2} (x - 6)}[/tex]

Explanation:

[tex]\sf Given \ equation: y = \dfrac{3}{2} x - 5[/tex]

Comparing it with slope intercept form "y = mx + b" where 'm' is slope and 'b' is y-intercept.

Here slope: 3/2 and y-intercept: -5

Parallel slope has the same tangent slope.

Pass through point (x, y) = (6, 3)

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\rightarrow \sf y - 3 = \dfrac{3}{2} (x - 6)[/tex]

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