evesquibel evesquibel
  • 19-06-2019
  • Mathematics
contestada

find the equation in slope intercept form parallel to y=5x + 2 that pases through (-6,-1)

Respuesta :

jimrgrant1 jimrgrant1
  • 19-06-2019

Answer:

y = 5x + 29

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 = 5x + 2 is in this form with slope m = 5

• Parallel lines have equal slopes, hence

y = 5x + c ← is the partial equation of the parallel line

To find c substitute (- 6, - 1) into the partial equation

- 1 = - 30 + c ⇒ c = - 1 + 30 = 29, thus

y = 5x + 29 ← in slope- intercept form

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