ANSWERS
• Slope of line 1: ,8
,
• Slope of line 2: ,-6
,
• The lines are ,neither
EXPLANATION
The slope of a line passing through points (x1, y1) and (x2, y2) is,
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
The points given for line 1 are (-8, -55) and (10, 89). The slope of this line is,
[tex]m_1=\frac{-55-89}{-8-10}=\frac{-144}{-18}=8[/tex]
The points given for line 2 are (9, -44) and (4, -14). The slope of this line is,
[tex]m_2=\frac{-44-(-14)}{9-4}=\frac{-44+14}{5}=\frac{-30}{5}=-6[/tex]
• If two lines are ,parallel, then they have the same slope.
,
• If two lines are ,perpendicular, then their slopes are opposite and reciprocal.
The slopes of these two lines are 8 and -6. These slopes are different and they are neither opposite nor reciprocal. Hence, these lines are neither parallel nor perpendicular.
