Question

How to turn the coordinates (-3,5) (4,-4) into y=mx+b

Answer 1

y = -
`(9)/(7)` +
`(8)/(7)`

Explanation:

Answer 2

y =
`-(9)/(7) x +(8)/(7)`

Explanation:

To turn the coordinates into y=mx+b, you first need the slope, m.

To find that you would use
`m = (y2 - y1)/(x2 - x1)`,

Let (-3, 5) = (x2, y2)

and (4, -4) = (x1, y1)

`m = (5 - (-4))/(-3 -4)`

or,
`m = -(9)/(7)`.

Now you have the slope, you will need the y-intercept, b, which you will need to use the point-slope formula (y - y2) = m(x - x2) and plug one of the points and slope into the equation (It does not matter which point you use).

So, (y - 5) =
`-(9)/(7)`(x - (-3) or (y - 5) =
`-(9)/(7)`(x + 3)

Then you would distribute the -9/7 to the (x + 3),

which turns into

(y - 5) =
`-(9)/(7)x` + (
`-(9)/(7)`)3

y - 5 =
`-(9)/(7) x -(27)/(7)`

After that , add 5 from both sides,

y - 5 =
`-(9)/(7) x -(27)/(7)`

+ 5 +5

--------------------------------

y =
`-(9)/(7) x +(8)/(7)`

And that should be in y=mx+b form!

Hope it helps!