Answer:
Perpendicular
Step-by-step explanation:
Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.
To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.
Calculate the slope of the lines by dividing the difference in y by the difference in x:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]
m₂ is the negative reciprocal of m₁, so these lines are perpendicular.
Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.
