Question

Will give brainliest if done properly

Answer 1

Answer:

$\sf \boxed{ \sf y - 3 = \dfrac{3}{2} (x - 6)}$

Explanation:

$\sf Given \ equation: y = \dfrac{3}{2} x - 5$

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:

$\sf y - y_1 = m(x - x_1)$

$\rightarrow \sf y - 3 = \dfrac{3}{2} (x - 6)$