Answer:
A
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
A y = [tex]\frac{1}{2}[/tex] x+ 2 ← has slope m = [tex]\frac{1}{2}[/tex]
B y = - [tex]\frac{1}{2}[/tex] x + 7 ← has slope m = - [tex]\frac{1}{2}[/tex]
C y = 2x + 4 ← has slope m = 2
D y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{4}[/tex] ← has slope m = [tex]\frac{1}{2}[/tex]
• Parallel lines have equal slopes
• the product of the slopes of perpendicular lines = - 1
- [tex]\frac{1}{2}[/tex] × 2 = - 1
then lines B and C are perpendicular
