Respuesta :

Answer:

y = -2/5 x +1

Step-by-step explanation:

We know two points on the line (-5,3) and ( 5,-1)

We  can find the slope using the slope formula

m = ( y2-y1)/ (x2-x1)

m = ( -1 -3)/( 5- -5)

   = (-1-3)/ (-5+5)

  -4/10

 =-2/5

Using the slope intercept form of the the lint

y = mx+b  where m is the slope and b is the y intercept

y = -2/5 x+b

Using one of the point and substitute in for x and y

3 = -2/5 (-5) +b

3 = 2 +b

1 = b

y = -2/5 x +1

  • (-5,3)
  • (5,-1)

Slope

  • m=(-1-3)/5+5
  • m=-4/10
  • m=-2/5

Equation in point slope form

  • y-y1=m(x-x1)
  • y-3=-2/5(x+5)
  • y-3=-2/5x-2
  • y=-2/5x+1