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17. Write the slope-intercept form of the line described in the following:
Perpendicular to y = x - 4 and passing through (-1,0)

Respuesta :

Answer: [tex]y=-x-1[/tex]

Step-by-step explanation:

What we need to know:

  • slope-intercept form is [tex]y=mx+b[/tex]  
  • the slope of a perpendicular line is the opposite reciprocal or opposite number and flipped fraction

Now let's solve:

Slope:

  1. opposite of 1 is -1
  2. reciprocal of 1/1 is 1/1
  3. slope is -1

Intercept:

  1. y=mx+b --> y= -x+b
  2. 0= -(-1)+b
  3. -1=b

Equation: y= -x-1