The two lines, a and b, are graphed below: line a is drawn by joining ordered pairs negative 3,18 and 9, negative 6. line b is drawn by joining ordered pairs negative 5, negative 2 and 8,17 determine the solution and the reasoning that justifies the solution to the systems of equations. −4, 6), because both the equations are true for this point , 8), because the graph of the two equations intersects at this point , 8), because neither of the two equations are true for this coordinate point −4, 6), because the graph of the two equations intersects the x-axis at these points

We have that
line A points (-3,18)  and (9,-6)
line B points (-5,-2) and (8,17)

step 1
find the equation of the line A
find the slope m
m=[-6-18]/[9+3]-----> m=-24/12----> m=-2

with m=-2 and the point  (-3,18) find the equation of line A
y-y1=m*(x-x1)----> y-18=-2*(x+3)---> y=-2x-6+18
y=-2x+12

step 2
ind the equation of the line B
find the slope m
m=[17+2]/[8+5]-----> m=19/13

with m=19/13 and the point  (8,17) find the equation of line B
y-y1=m*(x-x1)----> y-17=(19/13)*(x-8)---> y=-(19/13)x-11.69+17
y=1.46x+5.31

step 3

determine the solution of the sistem
y=-2x+12
y=1.46x+5.31

we know that
the solution of the system of linear equations is the point of intersection of both graphs
using a graph tool
see the attached figure

the solution is the point (1.93, 8.13)-----> (2,8)

therefore

the answer is the option
B.)(2, 8), because the graph of the two equations intersects at this point