Please Help!!!! I am really stuck on this one I used the formula m=y2-y1/x2-x1 and got -2/-3 but I am not sure how to put it into slope intercept form like the answers.

Question

anonymous · Answer

https://www.desmos.com/calculator :D

texaschic101 · Answer

Can you post the entire question

anonymous · Answer

attachment

texaschic101 · Answer

slope(m) = (y2 - y1) / (x2 - x1)
(2,7)...x1 = 2 and y1 = 7
(-1,5)..x2 = -1 and y2 = 5
now sub
slope(m) = (5 - 7) / (-1 - 2)
slope(m) = -2/-3
slope(m) = 2/3

Now use y = mx + b form...we already know m, so now we need to find b, the y intercept.
slope(m) = 2/3
you can use either of your points...
(2,7)...x = 2 and y = 7
now sub and solve for b, the y intercept
7 = 2/3(2) + b
7 = 4/3 + b
7 - 4/3 = b
21/3 - 4/3 = b
17/3 = b -- turn to mixed number
5 2/3 = b

so our equation is : y = 2/3x + 5 2/3 (answer B)

texaschic101 · Answer

any questions...please ask :)

anonymous · Answer

why did the slope go from -2/-3 to regular 2/3?

texaschic101 · Answer

because a negative divided by a negative is a positive

anonymous · Answer

I didn't know you were supposed to divide them, I thought it just stayed a fraction. Thank you for your help!! I fanned you :D

texaschic101 · Answer

glad I could help :)