Tell whether the lines are parallel, perpendicular, or neither.
Line 1: through (-2, 1) and (0, -5)
Line 2: through (0, 1)and (-3, 10)
The answer would be "parallel, perpendicular or neither"
A numerical answer would not make any sense
find the slope of line1 and line2
If they are equal, the lines are perpendicular
if the slopes are opposite and reciprocals of each other, the lines are perpendicular.
If anything else, then neither.
SOMEONE said: If they are equal, the lines are perpendicular
That is not correct, If the slopes are equal, the lines are parallel.
To determine whether the lines are parallel, perpendicular, or neither, we can use the slopes of the two lines.
The slope of a line can be found using the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's calculate the slopes of the two lines:
For Line 1:
Coordinates: (-2, 1) and (0, -5)
Slope of Line 1 = (change in y-coordinates) / (change in x-coordinates)
= (-5 - 1) / (0 - (-2))
= (-6) / (2)
= -3
For Line 2:
Coordinates: (0, 1) and (-3, 10)
Slope of Line 2 = (change in y-coordinates) / (change in x-coordinates)
= (10 - 1) / (-3 - 0)
= 9 / -3
= -3
Since the slopes of Line 1 and Line 2 are the same (-3), the lines are parallel.
Therefore, Line 1 and Line 2 are parallel.