with the equation of (3xn)+(n-1) find the slope-intercept form and point-slope form (using the point when n = 3). Graph the equation, and mark the points that correspond to n = 2 and n = 4.
y = (3n) + ( n - 1) = 2n - 1
When n = 3.....then y = 2(3) -1 = 5
When n = 2 then y = 2(2) - 1 = 3
When n = 4 , then y = 2(4) - 1
Using x for n...the slope = 2
Using ( 3 , 5)
Point-slope is (y - 5) = 2(x - 3)
Slope - int is y = 2(x - 3) + 5 ⇒ y = 2x - 6 + 5 ⇒ y= 2x - 1
Here's the graph and the points : https://www.desmos.com/calculator/bgp0oajbn5