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:

hope this .

r3t40

i think 5 miles per hour

step-by-step explanation: