Answer
The common difference (4) is equal to the slope of the line in slope-intercept form.
Work Step by Step
You have the sequence -1,3,7,11. The A(1) is -1. Find the common difference:
3-(-1)=4
7-3=4
11-7=4
Plug into recursive formula ($A^{n}$=$A^{n-1}$+d).The recursive formula is $A^{n}$=$A^{n-1}$+4
Plug into the explicit formula $a^{n}$=A(1)+(n-1)d:
y=-1+(x-1)(4)
y=-1+4x-4
y=4x-5
The recursive formula relates to the slope-intercept form because the common difference(4) is equal to the slope of the slope-intercept form.
