Determine which set of ordered pairs is a function.
a.
{(–1, 3), (1, 4), (–1, 5)}
b.
{(5, 3), (–6, 3), (–2, 4)}
c.
{(0.5, 1.6), (1, 1.75), (1.5, 2.3), (0.5, 3.6)}
d.
{(1, 2), (–5, 4), (3, 6), (–5, 2)}

B.  {(5, 3), (–6, 3), (–2, 4)}

Step-by-step explanation:

A relation is called function if for each input value there is only one output value,

In option A,

For -1 there are two values i.e. 3 and 5,

⇒ {(–1, 3), (1, 4), (–1, 5)} is not a function,

In option B,

There are only one output value for each input value,

⇒ {(5, 3), (–6, 3), (–2, 4)} is a function,

In option C,

There are two output values for 0.5 i.e. 1.6 and 3.6,

⇒ {(0.5, 1.6), (1, 1.75), (1.5, 2.3), (0.5, 3.6)} is not a function,

In option D,

There are two output values for -5 i.e. 4 and 2,

⇒ {(1, 2), (–5, 4), (3, 6), (–5, 2)} is not a function,

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b