Answer:
Perpendicular
Step-by-step explanation:
B. Their slopes (or gradients). To determine whether two lines on a plane are parallel or perpendicular, we need to examine what their slopes are. You can do this by using: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
So for the first line, it'll be: [tex]m_1 = \frac{0-4}{2-0} = \frac{-4}{2} = -2[/tex]
And for the second line, it'll be: [tex]m_2 = \frac{2-3}{-4-(-2)}=\frac{-1}{-2} = \frac{1}{2}[/tex]
If two lines are parallel, their slopes will be the same. If two lines are perpendicular, one line's slope will be the negative reciprocal of the other; this means you can express the relationship between the two slopes [tex]m_a[/tex] and [tex]m_b[/tex] as [tex]m_a = \frac{-1}{m_b}[/tex].
So we can see immediately the two lines aren't parallel, since the two slopes are different (one is -2 and the other is 1/2). However, they are perpendicular since if we do [tex]m_a = \frac{-1}{m_b}[/tex] where [tex]m_a = \frac{1}{2}[/tex] and [tex]m_b = -2[/tex], we see that the equation is true ([tex]\frac{1}{2} = \frac{-1}{-2}[/tex]).
