Question

Find the equation of a line with the given points. (Put your answers in the form y = mx + b.)

(7, 3)
(3, 7)

Answer 1

how do we determine the slope between 2 points?

Answer 2

slope is measured by how far our y changes with respect to changes in our x value

Answer 3

m = (y2 -y1)/(x2 - x1)

Answer 4

the x value moves from 7 to 3; thats a change of -4

the y value moves from 3 to 7; thats a change of +4

our ratio then is: change in y / change in x = 4/-4, simplified to:

-1

Answer 5

y-Py = m(x-Px)

y = mx -mPx +Py ; where P(x,y), and m=slope

Answer 6

wow, that equation takes me back a couple years

Answer 7

y = -x +1(3)+7