Answer:
[tex]y=6x-5[/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
We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=6x+b[/tex]
Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:
[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]
Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:
[tex]y=6x+(-5)\\y=6x-5[/tex]
I hope this helps!
