Question

What is the slope-intercept form of the function described by this table?

Answer 1

Answer:

Someone deleted my answer, which sucks cuz I know there are a bunch of students who pretty much need this so here it goes; the answer is y=5x+3

Step-by-step explanation:

I did this math problem a long time ago, I don't remember how I got the answer, I just have the answer lol

Answer 2

Answer:  The required slope-intercept form of the function is $y=5x+3.$

Step-by-step explanation:  We are given to find the slope-intercept form of the function described by the following table :

x       1      2     3     4

y      8     13    18    23

From the above table, we have the values

y(1) = 8,  y(2) = 13,  y(3) = 18   and   y(4) = 23.

We know that the slope of a function passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

So, if we consider the points (1, 8) and (2, 13), then the slope of the given function will be

$m=\dfrac{13-8}{2-1}\\\\\Rightarrow m=5.$

Since the function passes through the point (1, 8), so its equation is

$y-8=m(x-1)\\\\\Rightarrow y=5(x-1)+8\\\\\Rightarrow y=5x+3.$

Thus, the required slope-intercept form of the function is

$y=5x+3.$