Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y−4 = −2(x+3).

Step-by-step explanation:

first simplify,

-2(x+3) = -2x - 6

isolate y

y = -2x - 6 +4

simplify furthermore

y = -2x -2

plug in values (2, 3)

3 = -2(2) - 2

3 = -4x - 2

6= 4x

x = 3/2

since it is perpendicular, get the negative reciprocal

y = -2/3x + b

solve for b

3 = -2/3(2) + b

3 = -4/3 +13/3

y = -2/3x + 13/3

-4

step-by-step explanation:

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.