Question

Find the equation for the line through points (-3,1) and (4,7) use y=Mx+b

Answer 1

A = (-3, 1) and B = (4,7)

`m=(y2-y1)/(x2-x1)`
`m=(7-1)/(4-(-3))=(6)/(7)`
`y=(6)/(7)x+b`

Now, for b, using point B

`(7)=(6)/(7)(4)+b`
`b=7-(6)/(7)(4)\rightarrow b=(25)/(7)`
`y=(6)/(7)x+(25)/(7)`