Question

Indicate the equation

Answer 1

Answer:

Slope - intercept form

    $y = \frac{3}{5} x - \frac{26}{5}$

Step-by-step explanation:

Step(i):-

Given that the point (2,-4) and slope $m = \frac{3}{5}$

Equation of the straight line passing through the point (x₁, y₁) and slope 'm'

     y - y₁ = m( x-x₁ )

    y - (-4) =  $\frac{3}{5}$( x-2)

⇒  5( y+4) = 3(x-2)

⇒  5 y +20 = 3x -6

⇒ 3x - 5 y -6-20 =0

⇒ 3 x -5y -26=0

Step(ii):-

Slope - intercept form

       5 y = 3x -26

         $y = \frac{3}{5} x - \frac{26}{5}$