Find f(0) and then find the equation of the given linear function. x 1 2 3 4
f(x) 6 10 14 18
f(0) =

f(x) =

f(0) = 2

f(x) = 4x + 2

Step-by-step explanation:

You can see that the consecutive x-values are producing y-values that increase by 4 each time. Since the change in y is the same every time, we know this is a linear graph because in a continuous linear graph the slope does not change.

We can use the equation for a line: y = mx + b,

where m is the slope and b is the y-intercept.

The slope [m] is calculated by [change in y]/[change in x]. The y-values are increasing by 4 each time x increases by 1. m = 4/1 = 4.

Once we have found the slope, we can find the value for f(0). The line graph has a positive slope, so to find the value at x=0, we would subtract 4, moving backwards along the line.

6-4 = 2

The y-intercept on a line is the y-value for which x = 0. In this case we have already solved for the y-intercept, f(0) = 2.

Now plug the values into the formula.

y = mx + b

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42