truckoverscore10
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  • 09-09-2019
  • Mathematics
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Write the equation of the line in slope intercept from that is parallel given the equation and point.

Write the equation of the line in slope intercept from that is parallel given the equation and point class=

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jimrgrant1 jimrgrant1
  • 09-09-2019

Answer:

y = - 6x - 19

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 - 4 ← is in slope- intercept form

with slope m = - 6

• Parallel lines have equal slopes, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 18 + c ⇒ c = - 1 - 18 = - 19

y = - 6x - 19 ← in slope- intercept form

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