Question

Write an equation of the line containing the point (2,5) and perpendicular to the line 3x - 2y = 5.​

Answer 1

y = (-2/3)x + (19/3)

Explanation:

3x - 2y = 5

-2y + 3x = 5

-3x -3x

-------------------------

-2y = -3x + 5

-2 -2 -2

---------------------

3 5

y = -------x - -------

2 2

-2

Perpendicular: -------- x

3

-2

(2, 5); m = --------

x₁ y₁ 3

y - y₁ = m(x - x₁)

y - 5 = (-2/3)(x - 2)

y - 5 = (-2/3)x + (4/3)

+5 +5

--------------------------------

y = (-2/3)x + (19/3)

I hope this helps!