Davisbrandon270 Davisbrandon270
  • 23-12-2019
  • Mathematics
contestada

Lines c and d are parallel. The equation of line c is y= -3x - 5. What is the
equation of line d?

Respuesta :

gmany
gmany gmany
  • 23-12-2019

Answer:

y = -3x + b, where b ≠ -5

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line c:

[tex]c:y=-3x-5\to m=-3,\ b=-5[/tex]

Therefore the equation of a line d parallel to a line c is:

[tex]d=y=-3x+b[/tex]

The lines c and d are different. Therefore y-intercepts must be different

(b ≠ -5).

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