Answer:
The slope is 3/7 or ~0.43
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1
7-4=3
10-3=7
3/7=0.428
Answer:
A (2,2) B (2,4) C (3,2) D (3,3)
Step-by-step explanation:
K = 1/2
K is the scale factor so the distance between points will be cut in half
A 4,4 new 2,2
B 4,8 new 2,4
C 6,4 new 3,2
D 6,6 new 3,3
Answer:
![5x + 3y = 36](https://tex.z-dn.net/?f=5x%20%2B%203y%20%3D%2036)
Step-by-step explanation:
First we need to rewrite 3x-5y=8 in slope-intercept form.
![y = \frac{3}{5} x - \frac{8}{5}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B5%7D%20x%20-%20%20%5Cfrac%7B8%7D%7B5%7D%20)
The slope of this line is
![\frac{3}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20)
The line perpendicular to this line will have a slope that is the negative reciprocal of 3/5, which is
![m = - \frac{5}{3}](https://tex.z-dn.net/?f=m%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20)
This line passes through (3,7).
The equation is given by:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
We substitute the point and slope to get:
![y - 7 = - \frac{5}{3} (x - 3)](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20%28x%20-%203%29)
We multiply through by 3 to get:
![3y - 21 = - 5(x - 3)](https://tex.z-dn.net/?f=3y%20-%2021%20%3D%20%20-%205%28x%20-%203%29)
Expand to obtain:
![3y - 21 = - 5x + 15](https://tex.z-dn.net/?f=3y%20-%2021%20%3D%20%20-%205x%20%20%2B%2015)
![3y + 5x = 15 + 21](https://tex.z-dn.net/?f=3y%20%20%2B%205x%20%3D%20%2015%20%2B%2021)
![5x + 3y = 36](https://tex.z-dn.net/?f=5x%20%2B%203y%20%3D%2036)
The first square is 7.5
Hope this helps
It would be 5/9.
|~~~~~~~|
0. 5. 1
9