Question

How do you write the equation in point slope form given (5,3) with slope = 2?

Answer 1

`y-3=2(x-5)`

Explanation:

The general slope-point form for a line through the point `(color(red)(barx),color(red)(bary))` with slope of `color(blue)(m` is
`color(white)("XXX")y-color(red)(bary)=color(blue)(m)(x-color(red)(barx))`

Using the given values of `(color(red)(x),color(red)(y))=(color(red)(5),color(red)(3))` and `color(blue)(m)=color(blue)(2)`
`color(white)("XXX")y-color(red)(3) = color(blue)(2)(x-color(red)(5))`