<h2>Greetings!</h2>
First things first, you need to find the gradient which is:
![\frac{y2 - y1 }{x2 - x1 }](https://tex.z-dn.net/?f=%5Cfrac%7By2%20-%20y1%20%7D%7Bx2%20-%20x1%20%7D)
Take (9 , 1) , 9 = x₁ and 1 = y₁
Also means that in ( -1, 6 ) , -1 = x₂ and 6 = y₂
Simply plug these values into the formula:
![\frac{6 - 1}{-1 - 9}](https://tex.z-dn.net/?f=%5Cfrac%7B6%20-%201%7D%7B-1%20-%209%7D)
Which simplifies to:
![\frac{5}{-10}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B-10%7D)
Which then also simplifies down to:
![\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D)
So the gradient is
, so mx -
x
Now plug this into y = mx + b with one point, such as ( 9 , 1) where 1 is y and x is 9:
1 = (
x 9) + b
Which means that this can be rearranged to make 'b' the subject, making sure the positive negative half is made positive:
1 + 4.5 = b
So the intercept is b
This would then make the y = mx + b:
<h3>y =
![\frac{-1}{2}x](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7Dx)
+ 5.5</h3><h3 /><h3>Hope this helps!</h3>