<u>Answer:
</u>
The equation in slope intercept form for (5,9) and (6,8) is y = 3x-10
<u>Solution:
</u>
Given that (5,9) and (6,8)
Here, ![x_{1}=5 ; y_{1}=5 ; x_{2}=6 ; y_{2}=8](https://tex.z-dn.net/?f=x_%7B1%7D%3D5%20%3B%20y_%7B1%7D%3D5%20%3B%20x_%7B2%7D%3D6%20%3B%20y_%7B2%7D%3D8)
We know the slope of an equation is given by y = mx+c
To find the value of m, we use the below given formula
![\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cmathrm%7Bm%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
Substituting the values we get,
![\mathrm{m}=\frac{8-5}{6-5}](https://tex.z-dn.net/?f=%5Cmathrm%7Bm%7D%3D%5Cfrac%7B8-5%7D%7B6-5%7D)
![m = \frac{3}{1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B1%7D)
m = 3
Putting the value of m in the slope intercept form we get,
y = 3x+c
To find the value of c, we substitute the value of x and y from any two given point. Let’s take x = 5 and y = 5
5 = 3(5) + c
5 = 15 +c
5-15 = c
c = -10
Therefore the slope intercept equation becomes y = 3x -10
1288991/7776
Mark brainliest please
Hope this helps you
Answer:
−6a−12+3a
Step-by-step explanation:
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hence, last option is right
Y= -5x + 3 is not the answer it’s y= -5/3x