evasilevsky evasilevsky
  • 18-09-2022
  • Mathematics
contestada

Write the equation of the line parallel to the line and passing through
the point. Y=-2x-1, (4, 3)

Respuesta :

jimrgrant1 jimrgrant1
  • 18-09-2022

Answer:

y = - 2x + 11

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 = - 2x - 1 ← is in slope- intercept form

with slope m = - 2

• Parallel lines have equal slopes , then

y = - 2x + c ← is the partial equation of the parallel line

to find c substitute (4, 3 ) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = - 2x + 11 ← equation of parallel line

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