Answer:
The equation of line is [tex](y-2) = \frac{4}{3} (x -5)[/tex]
Step-by-step explanation:
Here, the two point line are given as is A(5,2) and B(-1,-6)
The slope of the line AB = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]= \frac{-6- 2}{-1 -5} = \frac{-8}{-6} = \frac{4}{3}[/tex]
⇒ the slope of AB is m = (4/3)
By POINT SLOPE FORMULA:
The equation of a line with slope m and a point (x0, y0) is given as
(y-y0)= m (x-x0)
⇒ The equation of line with point (5,2) is:
[tex](y-2) = \frac{4}{3} (x -5) [/tex]
Hence, the equation of line is [tex](y-2) = \frac{4}{3} (x -5)[/tex]
