Question

in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the value of n

Answer 1

Answer:

n = 16

Step-by-step explanation:

The slope from the origin to each point must be equal

(0,0) and (n, 8)

m = 8/n

(0, 0) and (32, n)

m = n/32

Set the slopes equal

8/n = n/32

cross multiply

256 = n²

Take the square root of both sides

n = 16