Question

What is the y-intercept of the function, represented by the table of values below

Answer 1

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope- formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table

m = $\frac{6-15}{1-(-2)}$ = $\frac{-9}{1+2}$ = $\frac{-9}{3}$ = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (2, - 3 ) , then

- 3 = - 6 + c ⇒ c = - 3 + 6 = 3

The y- intercept c = 3 → D