Answer:
[tex]y=2.5x-1[/tex]
Step-by-step explanation:
we know that
The equation of the line into 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]15x-6y=6[/tex] ---> equation of the line in standard form
Convert to slope intercept form
Isolate the variable y
Subtract 15x both sides
[tex]-6y=-15x+6[/tex]
Divide by -6 both sides
[tex]y=(15/6)x-1[/tex]
[tex]y=2.5x-1[/tex] ----> equation of the line into slope intercept form