Are 8x + 4y = 18 and 4x + 2y = 13:
parallel, intersect, or perpendicular
Get Eq. 1 into y = mx + b format:
8x + 4y = 18
4y = -8x + 18
Divide each side by 4
| 4y |
| 4 |
| = |
| -8x + 18 |
| 4 |
Simplifying, we have:
y = -2x + 4.5
Final Answer
Slope = -2
You have 2 free calculationss remaining
Get Eq. 2 into y = mx + b format:
4x + 2y = 13
2y = -4x + 13
Divide each side by 2
| 2y |
| 2 |
| = |
| -4x + 13 |
| 2 |
Simplifying, we have:
y = -2x + 6.5
Final Answer
Slope = -2
You have 2 free calculationss remaining
Evaluate line relation
Since the slope of both lines = -2,
the lines are parallel and never cross
Line Relation Check
The 2 lines are parallel.
Check if equations are Independent:
For a system to be independent
the slopes must be different and
The lines must cross.
This is not the case
Check if equations are Dependent:
To be dependent
the slopes and y-intercept must be the same.
This is not the case
Check if equations are Inconsistent:
The slopes are the same and
The intercepts are different
the lines are inconsistent
Calculate the angle θ
θ is formed by the two lines
| tan(θ) = | m2 - m1 |
| 1 + m2m1 |
| tan(θ) = | -2 --2 |
| 1 + -2 *-2 |
| tan(θ) = | 0 |
| 1 + 4 |
| tan(θ) = | 0 |
| 5 |
tan(θ) = 0
θ = 0
What is the Answer?
Slope = -2
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.
* 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
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
Example calculations for the 2 Lines Intersection Calculator
2 Lines Intersection Calculator Video
Tags:
Add This Calculator To Your Website
