Question

Is line 1 (1,5) (3,-2) and like 2 (-3,2) (4,0) perpendicular of parallel?

Answer 1

• Slope Formula: $\frac{y_2-y_1}{x_2-x_1}$

So remember that perpendicular lines have slopes that are negative reciprocals to each other and parallel lines have the same slope. To find out if they are either parallel or perpendicular, plug the pair of points into the slope formula to find their slopes:

$\textsf{Line 1}\\\\\frac{5-(-2)}{1-3}=-\frac{7}{2}\\\\\textsf{Line 2}\\\\\frac{0-2}{4-(-3)}=-\frac{2}{7}$

Since these slopes aren't the same nor are they negative reciprocals to each other, the lines are neither parallel nor perpendicular.