2 Lines Intersection Calculator

Publish date: 2024-07-17
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Are 2x + 4y = 16 and 6x - 3y = 18:

parallel, intersect, or perpendicular

Get Eq. 1 into y = mx + b format:

2x + 4y = 16

4y = -2x + 16

Divide each side by 4
Simplifying, we have:

y = -0.5x + 4

Final Answer

Slope = -0.5

You have 1 free calculations remaining


Get Eq. 2 into y = mx + b format:

6x - 3y = 18

-3y = -6x + 18

Divide each side by -3
-6x + 18
-3
Simplifying, we have:

y = 2x - 6

Final Answer

Slope = 2

You have used up your free calculations



What is the Answer?

How does the 2 Lines Intersection Calculator work?

Free 2 Lines Intersection Calculator - Enter any 2 line equations, and the calculator will determine the following:
* Are the lines parallel?
* Are the lines perpendicular
* Do the lines intersect at some point, and if so, which point?
* Is the system of equations dependent, independent, or inconsistent
This calculator has 2 inputs.

What 3 formulas are used for the 2 Lines Intersection Calculator?

Lines are parallel when they have the same slope.
Lines are perpendicular when they have slopes which are negative reciprocals.
For a line y = mx + b, m is the slope

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the 2 Lines Intersection Calculator?

2 lines intersectionintersectline equationparallelperpendiculartwo lines which intersect to form a right angleslopeChange in y over change in x

Example calculations for the 2 Lines Intersection Calculator

2 Lines Intersection Calculator Video


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