Question

Use the table to write a linear function that relates y to x.

Answer 1

Answer:

y = - $\frac{2}{3}$ x

Step-by-step explanation:

the equation of a linear function 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 ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table

m = $\frac{-4-2}{1-(-8)}$ = $\frac{-6}{1+8}$ = $\frac{-6}{9}$ = - $\frac{2}{3}$

the ordered pair (0, 0 ) indicates the line crosses through the origin, then

c = 0

y = - $\frac{2}{3}$ x + 0 , that is

y = - $\frac{2}{3}$ x ← equation of linear function