What is the slope of the line through (6,9)(6,9)(, 6, comma, 9, )and (7,1)(7,1)(, 7, comma, 1, )?
Alekssandra [29.7K]
Answer:
the slope of the given line is -8
Step-by-step explanation:
(6,9) and (7,1)
To find the slope of the given line we use formula
![slope = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
the value of x1 is 6 and y1 is 9
the value x2 is 7 and y2 is 1
plug in the value in the slope formula
![slope = \frac{1-9}{7-6}=\frac{-8}{1}=-8](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B1-9%7D%7B7-6%7D%3D%5Cfrac%7B-8%7D%7B1%7D%3D-8)
the slope of the given line is -8
<u><em>Answer:</em></u>
$5
<u><em>Step-by-step explanation:</em></u>
We can solve this using a system of linear equations. The equations are written like this:
3v + 9d = 75
5v + 10d = 100 (25 more than Dawn's total is 100)
V represents video games and d represents DVDs.
Let's isolate a variable, I'm going to isolate v in the first equation:
3v = -9d + 75
v = -3d + 25
Now that we isolated v we can plug it in to the second equation:
5(-3d + 25) + 10d = 100
-15d + 125 + 10d = 100
-5d + 125 = 100
-5d = -25
d = 5
Therefore, each DVD cost $5.
<u><em>Check:</em></u>
3v + 9(5) = 75
3v + 45 = 75
3v = 30
v = 10
5(10) + 10(5) = 100
50 + 50 = 100
100 = 100
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Factor out 18.
The factors for 18 are as listed:
1, 2, 3, 6, 9, 18
Now factor out 30.
The factors for 30 are as listed:
1, 2, 3, 5, 6, 10, 15, 30
Now look at the factors that are both factors for 18 and 30.
So, the common factors are 2, 3, and 6.
Answer:
The greatest number of miles that she can travel is 36(2/3) miles
Step-by-step explanation:
m=miles
25+1.50m ≤ 80
1.5 m ≤ 55
m ≤ 36.66666......
m ≤ 36 (6/9)
m ≤ 36(2/3)