Below are two pairs of points. A line goes through each pair of points. What are the coordinates for the intersection of the two lines? Show your work. Pair 1 (1,1) and (7,7)

Question

Pair 2 (0,8) and (8,0)

Answer 1

first line:
slope = (7-1)/(7-1) = 1
y = 1x + b
using either point, I will use the simpler (1,1)
1 = 1 + b
b = 0
first equation: y = x

2nd line:
follow my steps....

to solve, sub in y = x from the 1st into the 2nd