3 years ago

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

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

8 0

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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