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What is the equation of the line that is parallel to y=4/7x-3 and passed through (14,4)?

User Scho
by
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2 Answers

5 votes

Answer:

see explanation

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
(4)/(7) x - 3 is in this form

with slope m =
(4)/(7)

• Parallel lines have equal slopes, hence

y =
(4)/(7) x + c ← is the partial equation

To find c substitute (14, 4) into the partial equation

4 = 8 + c ⇒ c = 4 - 8 = - 4

y =
(4)/(7) x - 4 ← equation of parallel line

User Hildensia
by
8.8k points
3 votes
The correct answer is actually:
y=4/7x-4
User AdriSolid
by
7.8k points

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