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write the slope intercept form of the equation through (2,-4) parallel to y=-1

Sagot :

Answer:

  • y = -x - 2

Step-by-step explanation:

Parallel lines have equal slopes.

Given slope, m = - 1 and point (2, -4).

Slope- intercept form:

  • y = mx + b

Th line will be:

  • y = -x + b

Substitute x and y- values of the point into equation to find the value of b:

  • - 4 = - 2 + b
  • b = 2 - 4
  • b = - 2

The line is:

  • y = -x - 2
  • y=-1
  • y=0x-1

Slope=m=0

Parallel lines have equal slopes

Equation of line in point slope form

  • y-y1=m(x-x1)
  • y+4=0(x-2)
  • y+4=0
  • y=-4