Me before 7: 15
the graph shows two lines, a and b: a graph is shown with x and y axes labeled from 0 to 6 at increments of 1. a straight line labeled a joins the ordered pair 2, 6 with the ordered pair 5, 0. another straight line labeled b joins the ordered pair 0, 2 with the ordered pair 6, 6. based on the graph, which statement is correct about the solution to the system of equations for lines a and b? (3, 4) is the solution to both lines a and b. (3, 4) is the solution to line a but not to line b. (0, 2) is the solution to both lines a and b. (0, 2) is the solution to line a but not to line b.

A. (2,6)(5,0)
     slope = (0 - 6) / (5 - 2) = -6/3 = -2

y = mx + b
slope(m) = -2
(2,6)..x = 2 and y = 6
sub and find b, the y int
6 = -2(2) + b
6 = -4 + b
6 + 4 = b
10 = b

so line A , equation is : y = -2x + 10

B. (0,2)(6,6)
    slope = (6 - 2) / (6 - 0) = 4/6 which reduces to 2/3

y = mx + b
slope(m) = 2/3
(0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 2/3(0) + b
2 = b

LIne B, equation is : y = 2/3x + 2

so we have : 
y = 2/3x + 2
y = -2x + 10

2/3x + 2 = -2x + 10 ..multiply by 3
2x + 6 = -6x + 30
2x + 6x = 30 - 6
8x = 24
x = 24/8
x = 3

y = -2x + 10
y = -2(3) + 10
y = -6 + 10
y = 4

solution is (3,4)3/4 is the solution to both lines <===

It's all about the 4