Question

What is the equation of the line in point slope form if the slope is 2 and goes through point (-3,5)?

Answer 1

You can use the fact that the slope representes the change in `y` for a given change in `x`.
Basically:
change in `y` is `Deltay=y_2-y_1`
in your case:
`y_1=y`
`y_2=5`
change in `x` is `Deltax=x_2-x_1`
in your case:
`x_1=x`
`x_2=-3`

And:
`slope=(Deltay)/(Deltax)=2`

Finally:
`2=(5-y)/(-3-x)`
`-6-2x=5-y`
`y=2x+11`