Answer:
B. m=5/4
Step-by-step explanation:
Perpendicular slopes are negative reciprocals. This means they have opposite signs, and their numerators and denominators are switched.
1. Negate the sign
The slope we are given is
m= -4/5
To negate it, switch the sign. It is currently negative. Therefore, switch it to a positive sign.
m= +4/5
Positive 4/5 is also equal to just 4/5, so we can leave it as
m=4/5
2. Find the reciprocal
Currently, the slope we have is
m=4/5
We need to find the reciprocal. To do this, switch the numerator (top number) and denominator (bottom number)
m=4/5 ---flip--> m=5/4
Our final slope is: m=5/4
Therefore, the answer is B. m=5/4
