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Find the equation of the line that passes through (3,1) and is parallel to

y= 2 x + 3
.
Leave your answer in the form
y = m x + c

1 Answer

7 votes

Answer:


y = 2x-5

Explanation:

Given


(x_1,y_1) = (3,1)

Parallel to:
y = 2x + 3

Required

Determine the line equation

First, we calculate the slope of
y = 2x + 3\\\\

For an equation in the form
y = mx + c


m = slope

So, by comparison:


m = 2

The line equation is then calculated:


y - y_1 = m(x - x_1)

Where
(x_1,y_1) = (3,1) and
m = 2

So, we have:


y - 1 = 2(x - 3)


y-1 = 2x-6


y = 2x-6+1


y = 2x-5

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