Answer:
The new graph has a steeper slope and a y-intercept of 8.
Step-by-step explanation:
From Analytical Geometry, we define a straight line by following first order polynomial (linear function):
(1)
Where:
- Independent variable.
- Dependent variable.
- y-Intercept.
- Slope.
And the slope represents the change in dependent variable (
) divided by the change in independent variable (
). That is:
If 
and 
, then the new line is steeper with respect to the original line.
Let 
, its slope and y-intercept are 5 and 0, respectively. If slope is changed into 9 and y-intercept becomes 8, then the new graph has a steeper slope and a y-intercept of 8.
The answer would be 6x+42
Answer:
- amberjack, 21 lbs
- kingfish, 42 lbs
- white marlin, 84 lbs
- tarpon, 105 lbs
Step-by-step explanation:
Let k, a, m, t represent the weights of the kingfish, amberjack, marlin, and tarpon, respectively. The problem statement tells us ...
- k = 2a
- m = 2k
- t = 5a
- k + a + m + t = 252
Using substitution, we can rewrite the last equation as ...
... (2a) + (a) + 2(2a) + (5a) = 252
... 12a = 252 . . . . . collect terms
... a = 21 . . . . . . . . .divide by 12
Then k = 2a = 42; m = 2k = 84; t = 5a = 105.
September 5, 1793 - July 27, 1794
