Respuesta :

51894

Answer:

Step-by-step 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)

elcharly64

Answer:

Table shown below

Step-by-step explanation:

Table of Values

We are given the function:

[tex]\displaystyle y=\frac{5}{4}x-2[/tex]

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

[tex]\displaystyle y=\frac{5}{4}(-4)-2=-5-2=-7[/tex]

y=-7

x=0

[tex]\displaystyle y=\frac{5}{4}(0)-2=0-2=-2[/tex]

y=-2

x=4

[tex]\displaystyle y=\frac{5}{4}(4)-2=5-2=3[/tex]

y=3

x=8

[tex]\displaystyle y=\frac{5}{4}(8)-2=10-2=6[/tex]

y=8

The filled table is shown in the attached image

Ver imagen elcharly64

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