Hi there! The slope of the line is -2/5.
We can determine the slope of a line by dividing the change of y-coordinates by the change of x-coordinates.
In this situation we have a...
change of x-coordinates of (5 - 0) = 5
change of y-coordinates of (0 - 2) = -2
Therefore, the slope of this line is -2/5
D 32 miles to the gallon
976 divided by 30.5 equals 32
Answer:
A(h) = h²/2 - 6*h + 10
Step-by-step explanation:
The garden is rectangular, and area of a rectangle is:
A(r) = L*w
Where L is the length and w is the width of the rectangle
Now if we call "h" the length of the house, we have the following expressions
L = h - 2 and
w = h/2 - 5
The expression for the area f the ectangle as a function of the length of the house is:
A(h) = ( h - 2 )* ( h/2 -5 )
A(h) = h²/2 - 5*h - h + 10
A(h) = h²/2 - 6*h + 10
The graph graphed is y=1/2x
so
y=1/2x and y=-x+6
y=y so
1/2x=-x+6
times 2 both sides
x=-2x+12
add 2x both sides
3x=12
x=4
sub back
y=1/2x
y=1/2(4)
y=2
(4,2) is the solution
The slope of this line is 0, it would be undefined if the line were vertical
