Question

Type an equation for the following pattern....

Answer 1

Y=-3/2 + ?

21/2=-3/2 + ?
-?= -3/2-21/2
-?= -24/2
-?=-12
?=12


The equation is y=-3/2x + 12

Answer 2

Answer:

see explanation

Step-by-step explanation:

This is a linear pattern with the equation in the form

y = mx + c

To find m use the points (2, 9) and (4, 6) and the formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

m = $\frac{6-9}{4-2}$ = $\frac{-3}{2}$ = - $\frac{3}{2}$, thus

y = - $\frac{3}{2}$ x + c ← is the partial equation

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

Using (2, 9), then

9 = - 3 + c ⇒ c = 9 + 3 = 12

y = - $\frac{3}{2}$ x + 12 ← equation for pattern