The slope of the line that passes through (5, 4) and (-4,3) is ![\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D)
<u>Solution:</u>
Given, two points are (5, 4) and (-4, 3)
We have to find the slope of a line that passes through the above given two points.
Slope of a line that pass through
is given as:
![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![\text { Here, in our problem, } x_{1}=-4, y_{1}=3 \text { and } x_{2}=5, y_{2}=4](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Here%2C%20in%20our%20problem%2C%20%7D%20x_%7B1%7D%3D-4%2C%20y_%7B1%7D%3D3%20%5Ctext%20%7B%20and%20%7D%20x_%7B2%7D%3D5%2C%20y_%7B2%7D%3D4)
![\text { slope } m=\frac{4-3}{5-(-4)}=\frac{1}{5+4}=\frac{1}{9}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20slope%20%7D%20m%3D%5Cfrac%7B4-3%7D%7B5-%28-4%29%7D%3D%5Cfrac%7B1%7D%7B5%2B4%7D%3D%5Cfrac%7B1%7D%7B9%7D)
Hence, the slope the line that passes through the given points is ![\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D)
The one you have highlighted is correct, that is the sign for congruent.
The answer is the third one aka C.
There must not be two points on the same y-axis because that doesn't make a function but a relation instead.
C. doesn't have 2 points on same y-axis and therefore the third picture is the relation that's a function.
1. cost +1.25*cost = 500
2.25*cost = 500
cost = 500/2.25 = 222.22
Clyde should pay $222.22 or less for the pottery.
2. cost +0.25*cost = $12.50
1.25*cost = $12.50
cost = $12.50/1.25 = $10.00
The cost to Orchard Supply of a bag of fertilizer is $10.00.
<h2>Theoretical probability:</h2><h2><u>Rolling once = 1/6</u></h2><h2>Rolling 500 times = 83 times</h2><h2>1/6 is your answer!</h2>