Answer:
m = -4
b = -12
Step-by-step explanation:
First, identify the slope-intercept form:
y = mx + b
y = -4x - 12
Whereas m = slope and b = y-intercept.
Slope is the steepness of the line.
The y-intercept is where the line intersects the y axis.
Given:
The sequence is 25, 20, 15, 10, 5.
To find:
The ninth term of the given sequence.
Solution:
We have,
25, 20, 15, 10, 5
It is an AP because the difference between two consecutive terms are same.
Here,
First term (a) = 25
Common difference (d) = 20-25
= -5
The nth terms of an AP is

Where, a is the first term and d is the common difference.
Putting a=25, n=9 and d=-5 to get the 9th term.




Therefore, the ninth term of the given sequence is -15.
-5 < 3 + m <em>subtract 3 from both sides</em>
-5 - 3 < 3 - 3 + m
-8 < m → m > -8