reiszimm2004 reiszimm2004
  • 14-07-2019
  • Mathematics
contestada

What is the equation of a line that is parallel to y=-6x +2 and passes through (-1, 2)

Respuesta :

jimrgrant1 jimrgrant1
  • 14-07-2019

Answer:

y = - 6x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 6x + 2 ← is in this form with slope m = - 6

• Parallel lines have equal slopes, hence

y = - 6x + c ← is the partial equation of the parallel line.

To find c substitute (- 1, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = - 6x - 4 ← equation of parallel line

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