Goes through (1,4) is parallel to y=3x-7

Mathematics

1 answer:

user100 [1]3 years ago

8 0

Answer:

y = 3x + 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 = 3x - 7 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (1, 4) into the partial equation

4 = 3 + c ⇒ c = 4 - 3 = 1

y = 3x + 1 ← equation of parallel line

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