Question

Find a equation for the following pattern! Help!!!

Answer 1

Answer:

y = $\frac{1}{2}$ x

Step-by-step explanation:

The equation of a linear pattern has the form

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 ) = (1, $\frac{1}{2}$ ) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table

m = $\frac{1-\frac{1}{2} }{2-1}$ = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

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

Using (2, 1) , then

1 = 1 + c ⇒ c = 1 - 1 = 0

y = $\frac{1}{2}$ x + 0 ← equation for pattern or quite simply

y = $\frac{1}{2}$ x