y = - 7x - 20
the equation of a line in ' slope- intercept form ' is
y = mx + c → (m is the slope and c the y- intercept)
here m = - 7 ⇒ y = - 7x + c
to find c substitute ( - 4 , 8 ) into the equation
8 = 28 + c ⇒ c = 8 - 28 = - 20
y = - 7x - 20 → equation in slope- intercept form
Answer:
24 inches
Step-by-step explanation:
The perimeter of the shape is 36 inches since the other sides are given as 12 and 3, 6 will be left for the x
12 + 12 + 3 + 3 + x = 36 and x = 6
Susie then drew a square using part of this shape and one side of the square is x inches if one side is x then all fours sides will be x inches
so the perimeter of the square is 4 × x = 24 because we already know x = 6
Answer:
(x+3), (y+9)
Step-by-step explanation:
Adding to x with translate the figure right (subtracting will translate it left), and adding to y will translate it up (subtracting will translate it down).
To get from a point on
to the corresponding point on
, you would move 3 to the right and 9 up, so it would be (x+3), (y+9)
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have two points through which the line passes:
![(x_ {1}, y_ {1}) :( 8,5)\\(x_ {2}, y_ {2}): (- 6,5)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%20%3A%28%208%2C5%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%3A%20%28-%206%2C5%29)
We found the slope:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-5} {- 6-8} = \frac {0} {- 14} = 0](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B5-5%7D%20%7B-%206-8%7D%20%3D%20%5Cfrac%20%7B0%7D%20%7B-%2014%7D%20%3D%200)
The slope is zero.
Thus, the equation is of the form:
![y = b](https://tex.z-dn.net/?f=y%20%3D%20b)
We substitute one of the points and find b:
![(x, y) :( 8,5)\\5 = b\\b = 5](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%3A%28%208%2C5%29%5C%5C5%20%3D%20b%5C%5Cb%20%3D%205)
Finally, the equation is:
![y = 5](https://tex.z-dn.net/?f=y%20%3D%205)
Answer:
![y = 5](https://tex.z-dn.net/?f=y%20%3D%205)
7w*(<span>5-6/w)=((w-28)/7w)*7w
35w-(42w/w)=w-28
35w-42=w-28
34w=14
w=14/34
w=7/17</span>