Question

Please help. Will give medal
What equation in slope intercept form represents the line that passes through the two points?
A.
y = 3/7x -41/7

B.
y = -7/3x -41/7

C.
y = 7/3x +41/7

D.
y = -3/7x + 41/7

(2, 5), (9, 2)

Answer 1

so the first step is to work out the gradient (m)

m = change in y / change in x
so in this case,
m = (5-2)/(2-9)
m = (3)/(-7)

Answer 2

Then, (y-b)=m(x-a)

So substitute in your values (either point will work)
(y-5)=(-3/7)(x-2)
y - 5 = -3/7x +6/7
y = -3/7x + 41/7

Answer 3

Thank you so much for helping me understand

Answer 4

No problem :)