Is 7/-4 the opposite reciprocal of 4/7 ?
Thank you for your time
yes
they might be the slopes of perpendicular lines
Yes it is
To determine if 7/-4 is the opposite reciprocal of 4/7, we need to find the opposite and reciprocal of 4/7 and see if it equals 7/-4.
First, let's find the opposite of 4/7: the opposite of a fraction is obtained by changing the sign of the numerator. Therefore, the opposite of 4/7 is -4/7.
Next, let's find the reciprocal of -4/7: the reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of -4/7 is -7/4.
Now we can compare -7/4 with 7/-4. Notice that both fractions have the same values for the numerator and denominator, but with different signs. Since -7/4 is equal to 7/-4, we can conclude that 7/-4 is indeed the opposite reciprocal of 4/7.
Therefore, yes, 7/-4 is the opposite reciprocal of 4/7.