the soluttion would be the interesctions of the lines
two line can only intercect in only 0 or one or all of the points (when the 2 lines are equal)
so the answers could be A,B, D
then we solve for the slope-intercept form
y=mx+b m=slope=(y1-y2)/(x1-x2)
and b=y intercept
line one
(6-4)/(-3-3)=2/-6=-1/3
y=-1/3x+b
subsitute -3 for x and 6 for y
6=-1/3(3)+b
6=-1+b
7=b
y=-1/3x+7 is the equation of the first line
second line(7-2)/(-6-(9))=5/-15=-1/3
y=-1/3x+b
subsitue -6 for x and 7 for y
7=-1/3(-6)+b
7=2+b
5=b
y=-1/3x+6
the equations are
y=-1/3x+7
y=-1/3x+6
since they have the same slope, they are parrelell, and since they do not have the same y-intercept, they are not on the same level
the do not intercect in any point
the answer is A, zero points/no solution
