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Is y=3x+4 parallel or perpendicular

User GirishK
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1 Answer

1 vote

Answer:
y=3x+4 is parallel to
y=3x+7

Explanation:

The complete exercise is: "Is
y=3x+4 parallel, perpendicular or neither to
y=3x+7?"

The equation of the line in Slope-Intercept form is:


y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

1. The slopes of parallel lines are equal.

2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:


y=3x+4

You can identify that "m" and "b" are:


m=3\\b=4

And the other line provided in the exercise is this one:


y=3x+7

So, you can identify that:


m=3\\b=7

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

User Yujun Wu
by
5.0k points