Answer:
[tex]y=2x-14[/tex]
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=2\\point\ (9,4)[/tex]
substitute the given in the equation
[tex]4=2(9)+b[/tex]
Solve for b
[tex]4=18+b[/tex]
subtract 18 both sides
[tex]4-18=b[/tex]
[tex]b=-14[/tex]
therefore
The linear equation in slope intercept form is equal to
[tex]y=2x-14[/tex]
