Question

Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?

Answer 1

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

m =(-1-5)/(-3-4)

m =(-6)/(-7)

m=6/7

point slope form

y-y1 = m(x-x1)

y-5 = (6/7) (x-4)

Answer 2

The slope-point form:

`y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)`

We have two points (4, 5) and (-3, -1). Substitute:

`m=(-1-5)/(-3-4)=(-6)/(-7)=(6)/(7)`

For point (4, 5):

`y-5=(6)/(7)(x-4)`

For point (-3, -1):

`y-(-1)=(6)/(7)(x-(-3))\\\\y+1=(6)/(7)(x+3)`