Respuesta :

Answer:

line K:  y  = -1.25 X + 3.5

function line J:     y = 0.8 X + 6.625

Step-by-step explanation:

slope of line m: Sm = (2-(-1)) / (5 - (-3)) = 3/8

line n // line m: slope N = Slope M

function line n : f(x) = 3/8 X + b

∴ 5 = 3/8 x 4 + b (y intercept of line N)

b = 5 - 3/2 = 7/2

fuction of line K: y=mx + b    y= (6 - 3.5) / (-2 - 0) X  + 3.5

line K:  y = -2.5/2 * X + 3.5 = (-5/4) * X + 3.5

line J perpendicular to line K, so slope of line J equals to negative reciprocal of line K : 4/5

fuction of line J:   y = 4/5 * X + B

6 = 4/5 * (-2) + b

b= 6- (- 8/5) =6+5/8

function line J:     y = 4/5 * X + 6 5/8