The y-intercept of the line would change but the slope would not.
Slope is the rate of change of a line. If the y-values all decrease the same amount, the rate that the line is changing will not change. For example, let's take the points (5, 6) and (3, 2). The slope is given by (6-2)/(5-3) = 4/2 = 2. Now let's decrease the y-coordinates all by 2:
(5, 4) and (3, 0)
The slope now would be (4-0)/(5-3) = 4/2 = 2.
By changing the y-values the same amount, the amount of difference between them stays the same, and so does the rate of change of the line.
Since we shifted the y-values down, however, this moves the line down on the graph, which will change the y-intercept.
Answer:
y = 4
Step-by-step explanation:
Substitute the input x = - 4 into the function and evaluate for y
y = × - 4 + 6
= - 2 + 6
= 4
Answer:
Hsu makes $35,950.50 and Alkena makes $48,418.50
Step-by-step explanation:
Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:
a + h = 84,369
a = h + 12,468
Solve by substitution by plugging in h + 12,468 as a:
h + 12,468 + h = 84,369
2h + 12,468 = 84,369
2h = 71,901
h = 35,950.50
Plug this into the equation, a = h + 12,468 , to solve for a
a = 35,950.50 + 12,468
a = 48,418.50
So, Hsu makes $35,950.50 and Alkena makes $48,418.50
13. -p-6
14. 9+4y
15. -a+15
16. z+12
hope it helped