Answer:
B
Step-by-step explanation:
The lines intersect at exact one point. This is true because the lines do not have the same slope. This means the lines are not parallel and must cross at one point.
Calculate slope for Line 1 by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where [tex]x_2=-4\\ y_2=3[/tex] and [tex]x_1=-2\\y_1=4[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{3-4}{-4--2}=\frac{-1}{-4+2}=\frac{-1}{-2}=\frac{1}{2}[/tex]
Calculate slope for Line 2 by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where [tex]x_2=2\\ y_2=6[/tex] and [tex]x_1=0\\y_1=8[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{6-8}{2-0}=\frac{-2}{2}=-1[/tex]
