Two Lines
Consider one straight line passing through the points (-3, 2) and (3,0), while another straight line passes through points (-1, -7) and (0, -4). Are these lines parallel, perpendicular, or do they intersect at a non 90° angle?
Expand Hint
Given two points, the slope is:
$$$m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$$$
Hint 2
Slopes of perpendicular lines are the negative reciprocals of each other. Parallel lines have identical slopes.
The first step is to find the slope values for both lines. Given two points, the slope is:
$$$m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$$$
$$$m_1=\frac{0-2}{3-(-3)}=-\frac{2}{6}=-\frac{1}{3}$$$
$$$m_2=\frac{-4-(-7)}{0-(-1)}=-\frac{3}{1}=3$$$
Because
$$m_1$$
and
$$m_2$$
are negative reciprocals of each other, these two slopes are perpendicular. Parallel lines have identical slopes, while non 90° intersections will have different slopes.
Perpendicular
Time Analysis
See how quickly you looked at the hint, solution, and answer. This is important for making sure you will finish the FE Exam in time.- Hint: Not clicked
- Solution: Not clicked
- Answer: Not clicked
Similar Problems from FE Section: Straight Line
128. Straight Line Equation
395. Slope Intercept
396. Point-slope
517. Straight Line
519. Parallel Line
572. Line Relationship