Answer:
[tex]y=3x+6[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
We're given that the slope of the line is 3. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=3x+b[/tex]
We're also given the point (0,6). Since the y-intercept occurs when x=0, the y-intercept is therefore 6. Plug this into [tex]y=3x+b[/tex] as b:
[tex]y=3x+6[/tex]
I hope this helps!