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
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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
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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
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 intersection
- intersect
- line equation
- parallel
- perpendicular
- two lines which intersect to form a right angle
- slope
- Change in y over change in x
