Answer :
Answer:
[tex]y-14=\frac{5}{2}x[/tex]
Step-by-step explanation:
we know that
The equation of a line in point slope form is
[tex]y-y1=m(x-x1)[/tex]
In this problem we have
[tex]y=\frac{5}{2}x+14[/tex]
This is the equation of the line in slope intercept form
subtract 14 both sides
[tex]y-14=\frac{5}{2}x+14-14[/tex]
[tex]y-14=\frac{5}{2}x[/tex]
[tex]y-14=\frac{5}{2}(x-0)[/tex]
This is a equation of the line in point slope form
where
[tex]m=\frac{5}{2}[/tex]
[tex]point\ (0,14)[/tex]
Note The equation of the line in point slope form will vary depending on the point used