Answer:
Point-slope form of a line look like [tex]\left(Y-Y_{1}\right)=m\left(X-X_{1}\right)[/tex]
Step-by-step 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 [tex]\left(X_{1}, Y_{1}\right) \text { and }(X, Y).[/tex]
[tex]\left(X_{1}, Y_{1}\right)[/tex] is a known point, m is the slope of that line and (X, Y) is any other point on the line. Substitute the values,
[tex]m=\frac{\text { change in } Y}{\text { change in } X}[/tex]
[tex]m=\frac{(Y-Y 1)}{(X-X 1)}[/tex]
[tex]\left(Y-Y_{1}\right)=m\left(X-X_{1}\right)[/tex]
Therefore the Point-slope form of a line look like [tex]\left(Y-Y_{1}\right)=m\left(X-X_{1}\right)[/tex]
