Answer:
[tex]\boxed{\boxed{y-7=3(x-9)}}[/tex]
Step-by-step explanation:
The given points are [tex](9, 7),(4, -8)[/tex]
We can get the line equation passing through these points by applying point slope formula.
The slope of the line joining these two points would be,
[tex]=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\dfrac{-8-7}{4-9}[/tex]
[tex]=\dfrac{-15}{-5}[/tex]
[tex]=3[/tex]
The general point slope form of straight line is,
[tex]y-y_1=m(x-x_1)[/tex]
Putting the slope as 3 and the point as (9, 7),
[tex]y-7=3(x-9)[/tex]
