Question

I Point

Answer 1

Answer:

The equation of line is  $(y-2) = \frac{4}{3} (x -5)$

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 =  $m = \frac{y_2 - y_1}{x_2 - x_1}$

$= \frac{-6- 2}{-1 -5} = \frac{-8}{-6} = \frac{4}{3}$

⇒ 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:

$(y-2) = \frac{4}{3} (x -5)$

Hence, the equation of line is  $(y-2) = \frac{4}{3} (x -5)$