The equation of line n is 8x - 14y + 3 = 0. what is k if the graphs of n and kx - 7y + 10 = 0 are perpendicular? a. -8 b. 14 c. -49/4 d. 16/5 select the best answer from the choices provided a b c d

$6.42

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b