What is the slope-intercept form of the function described by this table?x 1 2 3 4y 8 13 18 23Enter your answer in the boxes.

Answer:  The required slope-intercept form of the function is [tex]y=5x+3.[/tex]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    23From the above table, we have the valuesy(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[tex]m=\dfrac{d-b}{c-a}.[/tex]So, if we consider the points (1, 8) and (2, 13), then the slope of the given function will be[tex]m=\dfrac{13-8}{2-1}\\\\\Rightarrow m=5.[/tex]Since the function passes through the point (1, 8), so its equation is[tex]y-8=m(x-1)\\\\\Rightarrow y=5(x-1)+8\\\\\Rightarrow y=5x+3.[/tex]Thus, the required slope-intercept form of the function is[tex]y=5x+3.[/tex]