To determine if the equations represent parallel lines, perpendicular lines, or neither, we need to compare the slopes of the lines.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope.
For L1: y = 5x + 4, the slope is 5.
For L2: y = -(1/5)x - (1/3), the slope is -(1/5).
Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals of each other.
Comparing the slopes of L1 and L2, we see that 5 and -(1/5) are negative reciprocals of each other. Therefore, the two lines are perpendicular.
Determine if the equations represent parallel lines, perpendicular lines, or neither.
L1: y=5x+4
L2: y=-1/5x-1/3
1 answer
1 answer