Answer:
Part 1) [tex]f(0)=2[/tex]
Part 2) [tex]f(x)=3x+2[/tex]
Step-by-step explanation:
Part 1) Find f(0)
we know that
Looking at the data in the table
When the value of x increases by 1 unit, the value of y increases by 3 units
therefore
When the value of x decreases by 1 unit from 1 to 0, the value of y would decreases 3 units from 5 to 2
thus
[tex]f(0)=2[/tex]
This value represent the y-intercept
Part 2) Find the equation of the given linear
Find the slope
take the points (1,5) and (2,8)
[tex]m=(8-5)/(2-1)=3[/tex]
The equation of the line in slope intercept form is equal to
[tex]f(x)=mx+b[/tex]
we have
[tex]m=3\\b=2[/tex]
substitute
[tex]f(x)=3x+2[/tex]