Line d passes through the points (1, 1) and (5, 6). what is the slope of a line perpendicular to line d?
a -5/4
b -4/5
c 4/5
d 5/4

B -4/5

Step-by-step explanation:

The slope of line D is given by

m = (y2-y1)/(x2-x1)

    = (6-1)/ (5-1)

    =5/4

We want the slope of the line perpendicular

That would be the negative reciprocal

- (4/5)

4/5

Step-by-step explanation:

the numerator of fraction is 1 less than its denominator. If the numerator is increased by 4 and the denominator is increased by 5, the new fraction becomes equivalent to 4/5. what is the original fraction?

Let n = numerator

d = denominator

n = d - 1

=

=

cross multiply

5(d + 3) = 4(d + 5)

5d + 15 = 4d + 20

d = 5

n = d - 1

5 - 1 = 4

original fraction 4/5