Question

What is the y-intercept of the line perpendicular to the line y = negative three fourthsx + 5 that includes the point (−3, −3)?

negative three fourths
1
7
negative twenty one fourths

Answer 1

1

Explanation:

m1 = -3/4

m2 = 4/3

y = (4/3)x + c

-3 = (4/3)(-3) + c

-3 = -4 + c

c = -3 + 4

c = 1

Answer 2

`b = 1`

Explanation:

`y = -(3)/(4)x + 5`

The line perpendicular to this is:

`y = (4)/(3)x + b` (We don't know the y-intercept, but we can solve for it since we have a given ordered pair, (-3, -3))

`-3 = (4)/(3)*(-3) + b` (Simplify)

`-3 = -4 + b` (Add 4 to both sides)

`b = 1`