Hi there!
We are given a point that the line passes through and the slope of the line, so we can use Point-Slope Form:
[tex]\mathrm{y-y1=m(x-x1)}[/tex]
In this case, y₁=7, m=9, and x₁=2.
Plug in the values:
[tex]\mathrm{y-7=9(x-2)}[/tex]
Now, turn it into Slope-Intercept:
[tex]\rm{y-7=9x-18[/tex]
Move -7 to the right:
[tex]\rm{y=9x-18+7}[/tex]
Add:
[tex]\rm{y=9x-11[/tex] (Answer)
Hope it helps!
Enjoy your day/night!
Please feel free to ask if you have any doubts.
-Sparkles-
