Respuesta :

Answer:

y = -x+2

Step-by-step explanation:

We know the y intercept is 2  ( where it crosses the y axis)

We know two points on the line

(0,2) and (2,0), so we can find the slope

m = ( y2-y1)/(x2-x1_

   = (0-2)/(2-0)

   = -2/2

  = -1

The slope intercept form of the line is

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

y = -1x +2

y = -x+2

Note the x and y inetercepts

  • x intercept=2
  • y intercept=2

Equation in intercept form

  • x/2+y/2=1

Multiply by 2

  • x+y=2

Convert to slope intercept form

  • y=-x+2
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