Answer:
the recursive formula gives the value of a certain term based on the previous term but the explicit formula gives the value of a specific term based on the position.
Step-by-step explanation:
Answer:
a = 4/27 - b/54
Step-by-step explanation:
27a+1/2b=4
Subtract 1/2 b from each side
27a+1/2b - 1/2 b=4-1/2 b
27a = 4 - 1/2 b
Divide each side by 27
27a/27 = 4/27 - 1/2 b/27
a = 4/27 - b/54
The x-intercept is when y = 0
while
The y-intercept is when x = 0
So, to find the x-intercepts, set y to 0:
3x - 5(0) = 15
3x = 15
Divide both sides by 3:
x = 5
x-intercept is (5, 0)
Now, for the y-intercept:
3(0) - 5y = 15
-5y = 15
Divide both sides by -5:
y = -3
y-intercept is (0, -3)
Therefore, the x-intercept is (5, 0), and the y-intercept is (0, -3).
Now, lets find the slope using these 2 points on the graph and the rate of change formula, which is:

Plug in the intercepts (the order of y's and x's doesn't really matter as long as they're consistent):
= 
Therefore, the slope is
, or rise 3, run 5.
Now, lets graph:
<em>( hope this helps! :) )</em>
(16+10)-1+13*5
26-1+65
25+65
90
4/5x = -7/5 - 1/5
4/5 x = -8/5
X = -8/5 / 4/5
X = -2