Write the equation of the line that goes through points (9, 1) and (-1, 6) in slope-intercept form. (hint: find slope first and then use y = mx + b).

First things first, you need to find the gradient which is:

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:

Which simplifies to:

Which then also simplifies down to:

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:

right

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.