Question

Have to find x and y . Please help!

Answer 1

Explanation:

x can be anything so let’s use 0, 1, 2, and 3 for x values

to find the y values, we just plug in the x values into the equation

when x = 0

y = 5/4(0) -2

y = 0 -2

y = -2

(0, -2) (x = 0, y = -2)

when x = 1

y = 5/4(1) -2

y = 5/4 -2

y = 5/4 -8/4

y = -3/4

(1, -3/4) (x = 1, y = -3/4)

when x = 2

y = 5/4(2) -2

y = 10/4 -2

y = 5/2 -4/2

y = 1/2

(2, 1/2) (x = 2, y = 1/2)

when x = 3

y = 5/4(3) -2

y = 15/4 -2

y = 15/4 -8/4

y = 7/4

(3, 7/4) (x = 3, y = 7/4)

Answer 2

Table shown below

Explanation:

Table of Values

We are given the function:

`\displaystyle y=(5)/(4)x-2`

And it's required to fill the table of values for x and y with the condition that there are only integers.

Given the expression has a denominator of 4, to ensure there are no decimals in the results, we select values of x that are multiple of 4.

Select the values: {-4,0,4,8}

Now calculate the corresponding values of y.

x=-4

`\displaystyle y=(5)/(4)(-4)-2=-5-2=-7`

y=-7

x=0

`\displaystyle y=(5)/(4)(0)-2=0-2=-2`

y=-2

x=4

`\displaystyle y=(5)/(4)(4)-2=5-2=3`

y=3

x=8

`\displaystyle y=(5)/(4)(8)-2=10-2=6`

y=8

The filled table is shown in the attached image