Question

This table shows a proportional relationship. х y Complete the equation that represents the table. - 4 - 6 Enter your answer as a decimal in the box. -2 3 0 0 y = Х 8. 12​

Answer 1

Answer:

y = 1.5x

Step-by-step explanation:

An equation that represents a proportional relationship can be written as y = kx.

Where,

k = constant of proportionality or unit rate = y/x

Using a pair form the table of values, say (-2, -3),

k = y/x = -3/-2 = ³/2 = 1.5

Substitute k = 1.5 into y = mx

The equation that represents the table would be:

y = 1.5x

Answer 2

The proportionality constant is 2/3 and the required equation is y = 2/3x

Tables and values

The standard equation of a line is expressed as y = mx + b

where:

m is the slope of the line

b is the intercept

From the given question, we are to find the rate of change (slope) from the give  table.

USing the coordinate points from the table (-2, 0) and (-3, 0)

Also recall that;

y = kx

-2 = k(-3)

k = 2/3

Hence the proportionality constant is 2/3 and the required equation is y = 2/3x

Learn more on rate of change here: https://brainly.com/question/8728504