The slope is negative because it is going at a downward angle or otherwise a negative path
Answer:
The slope of the graph is: m = -6
The y-intercept of the graph is: b = 2
And the graph of the equation is shown below.
Step-by-step explanation:
We know that the slope-intercept form is

Where m is the slope and b is the y-intercept
Given the equation

comparing with the slope-intercept form
slope = m = -6
y-intercept = b = 2
Thus,
The slope of the graph is: m = -6
The y-intercept of the graph is: b = 2
And the graph of the equation is shown below.
Answer:
The minimum value is 24
Step-by-step explanation:
we know that
The "feasible region" has vertices 
The objective function is 
To determine the minimum value of the objective function, substitute the value of x and the value of y of each vertex in the objective function and then compare the values
1) For (4,5)
x=4,y=5

2) For (4,6)
x=4,y=6

3) For (7,4)
x=7,y=4

4) For (3,6)
x=3,y=6

therefore
The minimum value is 24
The center of 400z is the pair of y