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Find the equation of the line which is parallel to y = 4x -2 and passes through thepoint (-2,3).​

1 Answer

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Answer:

y = 4x + 11

Explanation:

the equation of a line in slope- intercept form is

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

y = 4x - 2 ← is in slope- intercept form

with slope m = 4

• Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

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

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = 4x + 11 ← equation of line

User Lazar Nikolov
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