Question

What does point-slope form look like?

Answer 1

Point-slope form of a line look like
`\left(Y-Y_(1)\right)=m\left(X-X_(1)\right)`

Explanation:

Point slope form emphasizes the slope of a line and a point on that line. For calculating the slope of a line you need only two points on that line, the two points are
`\left(X_(1), Y_(1)\right) \text { and }(X, Y).`

`\left(X_(1), Y_(1)\right)` is a known point, m is the slope of that line and (X, Y) is any other point on the line. Substitute the values,

`m=\frac{\text { change in } Y}{\text { change in } X}`

`m=((Y-Y 1))/((X-X 1))`

`\left(Y-Y_(1)\right)=m\left(X-X_(1)\right)`

Therefore the Point-slope form of a line look like
`\left(Y-Y_(1)\right)=m\left(X-X_(1)\right)`