Question

A linear equation exists for the following sets of ordered pairs: {(-1, 1), (0, 3), (-1/3, 7/3)}. The rule for the linear equation states that y is three more than twice x. Set up a linear equation that satisfies the rule, and use the set of ordered pairs to prove that your equation satisfies the set of coordinates. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Answer 1

Answer:

Part 1) $y=2x+3$

Part 2) The equation satisfy the set of coordinates (see the explanation)

Step-by-step explanation:

step 1

Find the linear equation

The rule for the linear equation states that y is three more than twice x.

so

The variable y is equal to the number 2 multiplied by x plus the number 3

$y=2x+3$

step 2

Prove that the equation satisfies the set of coordinates

substitute the value of x and the value of y in the linear equation and then compare the results

a) (-1, 1)

$1=2(-1)+3$

$1=1$ ----> is true

so

The equation satisfy the ordered pair

b) (0, 3)

$3=2(0)+3$

$3=3$ ----> is true

so

The equation satisfy the ordered pair

c) (-1/3,7/3)

$7/3=2(-1/3)+3$

$7/3=7/3$ ----> is true

so

The equation satisfy the ordered pair

therefore

The equation satisfy the set of coordinates