(8,-7)m=-3/4 write an equation in point slope form of the line that passes through the given point and has the given slope

Respuesta :

Answer:

Equation of the straight line in point-slope form

 y -(-7) = [tex]\frac{-3}{4}[/tex](x-8)

Equation of the straight line

3x +4y +4=0

Step-by-step explanation:

Explanation:-

Given that the point ( 8,-7) and  [tex]m = \frac{-3}{4}[/tex]

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

          y - y₁ = m (x-x₁)

        y -(-7) = [tex]\frac{-3}{4}[/tex](x-8)

       4( y+7) = -3(x-8)

       4y +28 = -3x +24

      3x +4y +28 -24 =0

      3x +4y +4=0