dgshelvin2022
dgshelvin2022 dgshelvin2022
  • 01-10-2020
  • Mathematics
contestada

What is the equation of a line parallel to y=−3x+5, and passes through thepoint (6, 8)?

Respuesta :

jimrgrant1 jimrgrant1
  • 01-10-2020

Answer:

y = - 3x + 26

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 = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (6, 8 ) into the partial equation

8 = - 18 + c ⇒ c = 8 + 18 = 26

y = - 3x + 26 ← equation of parallel line

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