The general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively
<h3>How to determine the equations?</h3>
From the graph, we have the following points
(x,y) = (5,6) and (-3,-7)
Start by calculating the slope:
![m = \frac{y_2 - y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-x_1%7D)
This gives
![m = \frac{-7 - 6}{-3 - 5}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-7%20-%206%7D%7B-3%20-%205%7D)
Evaluate the differences
![m = \frac{-13}{-8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-13%7D%7B-8%7D)
Evaluate the quotient
![m = \frac{13}{8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B13%7D%7B8%7D)
The equation is then calculated as:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives
![y = \frac{13}8(x - 5) + 6](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B13%7D8%28x%20-%205%29%20%2B%206)
Multiply through by 8
8y = 13(x - 5) + 48
Open the bracket
8y = 13x - 65 + 48
Evaluate the like terms
8y = 13x - 17
Subtract 13x from both sides
-13x + 8y = -17
Multiply through by -1
13x - 8y = 17 ---- this represents the standard form
Subtract 17 from both sides
13x - 8y - 17 = 0 --- this represents the general form
Hence, the general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
Answer: 68%
Reasoning: To find the experimental probability, we divide the number of students that scored an 80 or higher by the total number of students, so 17/25
17/25 = 0.68 x 100 = 68%
Check the picture below.
the area of the triangle whose base is AC and height is BD, is the same area of the triangle whose base is AB and altitude is BC, namely
![A=\cfrac{1}{2}(\stackrel{b}{6})(\stackrel{h}{6})\implies 18](https://tex.z-dn.net/?f=A%3D%5Ccfrac%7B1%7D%7B2%7D%28%5Cstackrel%7Bb%7D%7B6%7D%29%28%5Cstackrel%7Bh%7D%7B6%7D%29%5Cimplies%2018)
.75x+1.29y < $7.00
x represents how many bagels he can buy
y represents how many cream cheese containers he can buy
That's the point-slope form of the equation of a line.