Determine whether the lines are parallel, perpendicular, or neither.
2x - 10y = 20 and y = −5x + 9
Parallel lines
Perpendicular lines
Neither
First, we need to put both equations in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Equation 1:
2x - 10y = 20
-10y = -2x + 20
y = 0.2x - 2
Equation 2:
y = -5x + 9
Now we can see that the slopes of both lines are 0.2 and -5 respectively. Since the slopes are not equal or negative reciprocals of each other, the lines are neither parallel nor perpendicular.