Question

How to find linear equations in slope form with two points (2,5) (-1,6)

Answer 1

y=-1/3x+17/3

Explanation:

1. find the slope:

y2-y1/x2-x1

=6-5/-1-2

=1/-3

∴=-1/3

2. find b

y=-1/3x+b

substitute y and x

5=-1/3(2)+b

5=-2/3+b

17/3=b

∴b=
`(17)/(3)`

3. final equation

y=
`-(1)/(3)`
`x`+
`(17)/(3)`