Line 1 is defined by \(y=3 x+7\), and line 2 is parallel to line 1 . What is the slope of line 2 ? O \(-3\) 03 O \(\frac{1}{3}\) I don't know.

Short Answer

Expert verified
The slope of line 2 is 3.

Step by step solution

01

Identify the Slope of Line 1

The slope of a line in the form \(y=mx+b\) is given by the coefficient \(m\) in front of \(x\). Here, the slope of line 1 is 3 as it's the coefficient in front of \(x\) in the equation \(y=3x+7\).
02

Apply the Definition of Parallel Lines

Parallel lines have the same slope. It means that if line 2 is parallel to line 1 then the slope of line 2 has to be the same as the slope of line 1.
03

Deduce the Slope of Line 2

As line 2 is parallel to line 1 and the slope of line 1 is 3, we deduce that the slope of line 2 must also be 3.

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