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
