Respuesta :

chetankachana

Answer:

[tex]y = -\frac54x -7[/tex]

Step-by-step explanation:

Slope:

  • [tex]\frac{3 - (-2)}{-8 - (-4)}[/tex]
  • [tex]-\frac{5}{4}[/tex]

Y-intercept:

  • [tex]y = -\frac54x + b\\[/tex]
  • [tex]-2 = -\frac54(-4) + b[/tex]
  • [tex]-2 = 5 + b[/tex]
  • [tex]b=-7[/tex]

y = -5/4x -7

-Chetan K
find the gradient of the line -

3 - -2/ -8-4 = 5/-12

then sub this value into y=mx+c

y=(5/-12)x + c

then sub in one of the given coordinates

3 = (5/-12)(-8) + c

c= 3/ (5/-12 x -8)