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3 years ago

13) through: (2, -3), parallel to y = -x + 4

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

Answer:

y = - x - 1

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 = - x + 4 ← is in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes, thus

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

To find c substitute (2, - 3) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = - x - 1 ← equation of parallel line

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