Answer:
see explanation
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are the negative reciprocal of each other
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 7x + 2y = 7 into this form
Subtract 7x from both sides
2y = - 7x + 7 ( divide all terms by 2 )
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{7}{2}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{7}{2}[/tex]
Thus
slope of perpendicular line = [tex]\frac{2}{7}[/tex]
slope of parallel line = - [tex]\frac{7}{2}[/tex]
