simply need to fill in Y=Mx+b!
slope is 1/2, the and b (the y intercept) is 0! so y=1/2x + 0 or y=1/2x :)
X² <span>+ 11x = -28
to find the solution of this polynomial, it'll be easiest to try and factor it. the first thing you need to do is move everything to one side:
</span>x² + 11x = -28 ... add 28
x² + 11x + 28 = 0 ... factor
(x + 7)(x + 4) = 0 ... now set both of your factors equal to zero and solve for x
x + 7 = 0
x = -7
x + 4 = 0
x = -4
The four vertices of the new quadrilateral is the midpoints of the four sides. (5,3) and (5,-1) is ((5+5)/2,(3-1)/2)=(5,1). Midpoint between (-1,3) and (5,3)=(2,3). Midpoint between (-1,3) and (-1,-1) is (-1,1). Midpoint between (-1,-1) and (5,-1) is (2,-1). So the four vertices are (5,1), (2,3), (-1,1), and (2,-1). The resulting figure is a rhombus, centered at (2,1).
Answer:

Step-by-step explanation:
Linear equation:
A linear function has the following format:

In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:

Thus

Finding b:
We take one of the points and replace on the equation.
(30,31) means that
. Thus




Thus
