Answer:
\(\boxed{\boxed{y-7=3(x-9)}}\)
Step-by-step explanation:
The given points are \((9, 7),(4, -8)\)
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,
\(=\dfrac{y_2-y_1}{x_2-x_1}\)
\(=\dfrac{-8-7}{4-9}\)
\(=\dfrac{-15}{-5}\)
\(=3\)
The general point slope form of straight line is,
\(y-y_1=m(x-x_1)\)
Putting the slope as 3 and the point as (9, 7),
\(y-7=3(x-9)\)
